Dr. Muhammad Altaf Khan

Research Scientist
University of Science and Information Technology, Pakistan

Highest Degree
Ph.D. in Mathematical Analysis from University of Peshawar, Pakistan

My URL
https://livedna.org/92.25734

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Area of Interest:

Mathematics
Mathematical Statistics
Discrete Mathematics
Differential Equations
Data Analysis

Selected Publications

  1. Khan, M.A., 2019. Neglecting nonlocality leads to unrealistic numerical scheme for fractional differential equation: Fake and manipulated results. Interdiscip. J. Nonlinear Sci., Vol. 29. 10.1063/1.5085661.
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  2. El-Dessoky, M.M. and M.A. Khan, 2019. Application of fractional calculus to combined modified function projective synchronization of different systems. Interdiscip. J. Nonlinear Sci., Vol. 29. 10.1063/1.5079955.
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  3. Bonyah, E., M.A. Khan, K.O. Okosun and J.F. Gómez‐Aguilar, 2019. On the co‐infection of dengue fever and Zika virus. Optimal Control Appl. Methods. 10.1002/oca.2483.
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  4. Bonyah, E., M.A. Khan, K.O. Okosun and J.F. Gómez-Aguilar, 2019. Modelling the effects of heavy alcohol consumption on the transmission dynamics of gonorrhea with optimal control. Math. Biosci., 309: 1-11.
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  5. Zuhra, S., N.S. Khan, M.A. Khan, S. Islam, W. Khan and E. Bonyah, 2018. Flow and heat transfer in water based liquid film fluids dispensed with graphene nanoparticles. Results Phys., 8: 1143-1157.
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  6. Ullah, S., M.A. Khan and M. Farooq, 2018. Modeling and analysis of the fractional HBV model with Atangana-Baleanu derivative. Eur. Phys. J. Plus, Vol. 133. 10.1140/epjp/i2018-12120-1.
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  7. Ullah, S., M.A. Khan and M. Farooq, 2018. A new fractional model for the dynamics of the hepatitis B virus using the Caputo-Fabrizio derivative. Eur. Phys. J. Plus, Vol. 133. 10.1140/epjp/i2018-12072-4.
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  8. Ullah, S., M.A. Khan and M. Farooq, 2018. A fractional model for the dynamics of TB virus. Chaos Solitons Fractals, 116: 63-71.

  9. Uddin, I., M.A. Khan, S. Ullah, S. Islam, M. Israr and F. Hussain, 2018. Characteristics of buoyancy force on stagnation point flow with magneto-nanoparticles and zero mass flux condition. Res. Phys., 8: 160-168.
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  10. Shah, Z., T. Gul, S. Islam, M.A. Khan and E. Bonyah et al., 2018. Three dimensional third grade nanofluid flow in a rotating system between parallel plates with Brownian motion and thermophoresis effects. Results Phys., 10: 36-45.
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  11. Shah, Z., S. Islam, T. Gul, E. Bonyah and M.A. Khan, 2018. The electrical MHD and hall current impact on micropolar nanofluid flow between rotating parallel plates. Results Phys., 9: 1201-1214.
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  12. Nasir, S., S. Islam, T. Gul, Z. Shah and M.A. Khan et al., 2018. Three-dimensional rotating flow of MHD single wall carbon nanotubes over a stretching sheet in presence of thermal radiation. Applied Nanosci., 8: 1361-1378.
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  13. Khan, Z., R.A. Shah, M. Altaf, S. Islam and A. Khan, 2018. Effect of thermal radiation and MHD on non-Newtonian third grade fluid in wire coating analysis with temperature dependent viscosity. Alexandria Eng. J., 57: 2101-2112.
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  14. Khan, Z., M.A. Khan, N. Siddiqui, M. Ullah and Q. Shah, 2018. Solution of magnetohydrodynamic flow and heat transfer of radiative viscoelastic fluid with temperature dependent viscosity in wire coating analysis. PloS One, Vol. 13. 10.1371/journal.pone.0194196.
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  15. Khan, W., M. Idress, T. Gul, M.A. Khan and E. Bonyah, 2018. Three non-Newtonian fluids flow considering thin film over an unsteady stretching surface with variable fluid properties. Adv. Mech. Eng., Vol. 10. 10.1177/1687814018807361.
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  16. Khan, M.A., Y. Khan and S. Islam, 2018. Complex dynamics of an SEIR epidemic model with saturated incidence rate and treatment. Phys. A: Stat. Mech. Applic., 493: 210-227.
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  17. Khan, M.A., S. Ullah, K.O. Okosun and K. Shah, 2018. A fractional order pine wilt disease model with Caputo-Fabrizio derivative. Adv. Difference Equations. 10.1186/s13662-018-1868-4.
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  18. Khan, M.A., S. Ullah and M. Farooq, 2018. A new fractional model for tuberculosis with relapse via Atangana-Baleanu derivative. Chaos Solitons Fractals, 116: 227-238.
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  19. Khan, M.A., S. Islam, J.C. Valverde and S.A. Khan, 2018. Control strategies of hepatitis B with three control variables. J. Biol. Syst., 26: 1-21.
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  20. Khan, M.A., S. Islam and G. Zaman, 2018. Media coverage campaign in Hepatitis B transmission model. Applied Math. Comput., 331: 378-393.
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  21. Khan, M.A., R. Khan, Y. Khan and S. Islam, 2018. A mathematical analysis of Pine Wilt disease with variable population size and optimal control strategies. Chaos Solitons Fractals, 108: 205-217.
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  22. Khan, M.A., M. Farhan, S. Islam and E. Bonyah, 2018. Modeling the transmission dynamics of avian influenza with saturation and psychological effect. Discrete Continuous Dynamical Syst.-S, 12: 455-474.

  23. Khan, M.A., K. Shah, Y. Khan and S. Islam, 2018. Mathematical modeling approach to the transmission dynamics of pine wilt disease with saturated incidence rate. Int. J. Biomath., Vol. 11. 10.1142/S1793524518500353.
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  24. Gul, T., S. Nasir, S. Islam, Z. Shah and M.A. Khan, 2018. Effective Prandtl number model influences on the γAl2O3-H2O and γAl2O3-C2H6O2 nanofluids spray along a stretching cylinder. Arabian J. Sci. Eng., 44: 1601-1616.
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  25. Gul, T., I. Haleem, I. Ullah, M.A. Khan, E. Bonyah, I. Khan and M. Shuaib, 2018. The study of the entropy generation in a thin film flow with variable fluid properties past over a stretching sheet. Adv. Mech. Eng., 10: 1-15.

  26. Alzahrani, E.O. and M.A. Khan, 2018. Modeling the dynamics of hepatitis E with optimal control. Chaos Solitons Fractals, 116: 287-301.
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  27. Ali, L., S. Islam, T. Gul, M.A. Khan and E. Bonyah, 2018. Solutions of nonlinear real world problems by a new analytical technique. Heliyon, Vol. 4. 10.1016/j.heliyon.2018.e00913.
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  28. Agusto, F.B. and M.A. Khan, 2018. Optimal control strategies for dengue transmission in pakistan. Math. Biosci., 305: 102-121.
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  29. Shah, Z., T. Gul, A.M. Khan, I. Ali, S. Islam and F. Husain, 2017. Effects of hall current on steady three dimensional non-newtonian nanofluid in a rotating frame with brownian motion and thermophoresis effects. J. Eng. Technol., 6: 280-296.

  30. Okosun, K.O., M.A. Khan, E. Bonyah and S.T. Ogunlade, 2017. On the dynamics of HIV-AIDS and cryptosporidiosis. Eur. Phys. J. Plus, Vol. 132. 10.1140/epjp/i2017-11625-3.
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  31. Khan, Z., S. Islam, R.A. Shah, M.A. Khan, E. Bonyah, B. Jan and A. Khan, 2017. Double-layer optical fiber coating analysis in MHD flow of an elastico-viscous fluid using wet-on-wet coating process. Results Phys., 7: 107-118.
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  32. Khan, Z., M.A. Khan, I. Khan, S. Islam and N. Siddiqui, 2017. Two-phase coating flows of a non-Newtonian fluid with linearly varying temperature at the boundaries-an exact solution. Optical Eng., Vol. 56. 10.1117/1.OE.56.7.075104.
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  33. Khan, N.S., T. Gul, M.A. Khan, E. Bonyah and S. Islam, 2017. Mixed convection in gravity-driven thin film non-Newtonian nanofluids flow with gyrotactic microorganisms. Res. Phys., 7: 4033-4049.
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  34. Khan, M.A., Y. Khan, T.W. Khan and S. Islam, 2017. Dynamical system of a SEIQV epidemic model with nonlinear generalized incidence rate arising in biology. Int. J. Biomath., Vol. 10. 10.1142/S1793524517500966.
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  35. Khan, M.A., K. Ali, E. Bonyah, K.O. Okosun, S. Islam and A. Khan, 2017. Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control. Sci. Rep., Vol. 7. .
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  36. Bonyah, E., M.A. Khan, K.O. Okosun and S. Islam, 2017. A theoretical model for Zika virus transmission. PloS One, Vol. 12. 10.1371/journal.pone.0185540.
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  37. Bonyah, E., A. Atangana and M.A. Khan, 2017. Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative. Asia Pacific J. Comput. Eng., Vol. 4. 10.1186/s40540-016-0019-1.
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  38. Ullah, R., S. Jan, G. Zaman, S. Khan, S. Islam, M.A. Khan and H. Ullah, 2016. Mathematical modeling of vector-borne diseases. J. Applied Environ. Biol. Sci., 6: 57-62.

  39. Ullah, R., M. Khan, G. Zaman, S. Islam, M.A. Khan, S. Jan and T. Gul, 2016. Dynamical features of a mathematical model on smoking. J. Applied Environ. Biol. Sci., 6: 92-96.

  40. Ullah, R., F. Ali, M. Adil, A.A. Shah and Z. Hussain et al., 2016. Stability analysis of a general SEIRS epidemic model. J. Applied Environ. Biol. Sci., 6: 1-1.

  41. Khan, M.A., Y. Khan, S. Khan and S. Islam, 2016. Global stability and vaccination of an SEIVR epidemic model with saturated incidence rate. Int. J. Biomath., Vol. 9. 10.1142/S1793524516500686.
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  42. Khan, M.A., S.F. Saddiq, S. Islam, I. Khan and S. Shafie, 2016. Dynamic behavior of leptospirosis disease with saturated incidence rate. Int. J. Applied Comput. Math., 2: 435-452.
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  43. Khan, M.A., S. Ullah, D.L. Ching, I. Khan, S. Ullah, S. Islam and T. Gul, 2016. A mathematical study of an epidemic disease model spread by rumors. J. Comput. Theor. Nanosci., 13: 2856-2866.
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  44. Khan, M.A., E. Bonyah, S. Ali, S. Islam and S.N. Khan, 2016. Stability analysis of delay seirepidemic model. Int. J. Adv. Applied Sci., 3: 46-53.

  45. Ghaffar, F., N. Badshah, S. Islam and M.A. Khan, 2016. Multigrid method based on transformation-free high-order scheme for solving 2D Helmholtz equation on nonuniform grids. Adv. Difference Equations, Vol. 2016. 10.1186/s13662-016-0745-2.
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  46. Ebenezer, B., A. Khan, M.A. Khan and S. Islam, 2016. Analytical solution of the ebola epidemic model by homotopy perturbation method. J. Applied Environ. Biol. Sci., 6: 41-49.

  47. Ebenezer, B., A. Freihet, M.A. Khan, A. Khan and S. Islam, 2016. Application of the multi-step differential transform method to solve system of nonlinear fractional differential algebraic equations. J. Applied Environ. Biol. Sci., 6: 83-95.

  48. Ebenezer, B., A. Freihat, A. Danquah, M.A. Khan, A. Khan and S. Islam, 2016. A novel approach of multistep scheme for solving nonlinear fractional telegraph equation. J. Applied Environ. Biol. Sci., 6: 17-28.

  49. Bonyah, E., A. Atangana, K. Okosun and M.A. Khan, 2016. Approximate solution of cryptosporidiosis model. Asia Pacific J. Comput. Eng., Vol. 3. 10.1186/s40540-016-0018-2.
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  50. Zeeshan, K., R.A. Shah, I. Khan, T. Gul and P. Gaskel, 2015. Double-layer optical fiber coating analysis by withdrawal from a bath of oldroyd 8-constant fluid. J. Applied Environ. Biol. Sci., 5: 36-51.
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  51. Ullah, W., T. Gul, M.A. Khan, S. Islam, M. Jebran and H. Rasheed, 2015. OHAM solution of MHD third grade thin film flow on a vertical lubricating belt with porosity. J. Applied Environ. Biol. Sci., 5: 36-49.

  52. Rani, S., T. Gul, M.A. Khan and S. Islam, 2015. Analysis of unsteady oldroyd-B fluid between vertical plates with MHD. J. Applied Environ. Biol. Sci., 5: 72-82.

  53. Khan, M.A., Z. Ali, L.C.C. Dennis, I. Khan, S. Islam, M. Ullah and T. Gul, 2015. Stability analysis of an svir epidemic model with non-linear saturated incidence rate. Applied Math. Sci., 9: 1145-1158.

  54. Khan, M.A., Y. Khan, Q. Badshah and S. Islam, 2015. Global stability of SEIVR epidemic model with generalized incidence and preventive vaccination. Int. J. Biomath., Vol. 8. 10.1142/S1793524515500825.
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  55. Khan, M.A., Sehra, S. Islam and S.A. Khan, 2015. Stability analysis of seivhr epidemic model with saturated incidence rate. VFAST Trans. Math., 6: 7-19.
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  56. Khan, M.A., Q. Badshah, S. Islam, I. Khan, S. Shafie and S.A. Khan, 2015. Global dynamics of SEIRS epidemic model with non-linear generalized incidences and preventive vaccination. Adv. Difference Equations, Vol. 2015. 10.1186/s13662-015-0429-3.
    CrossRef  |  

  57. Khan, M.A., M. Parvez, S. Islam, I. Khan, S. Shafie and T. Gul, 2015. Mathematical analysis of typhoid model with saturated incidence rate. Adv. Stud. Biol., 7: 65-78.
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  58. Khan, M.A., A. Wahid, S. Islam, I. Khan, S. Shafie and T. Gul, 2015. Stability analysis of an SEIR epidemic model with non-linear saturated incidence and temporary immunity. Int. J. Adv. Applied Math. Mech., 2: 1-14.

  59. Khan, M.A., A. Ali, L.C.C. Dennis, S. Islam, I. Khan, M. Ullah and T. Gul, 2015. Dynamical behavior of cholera epidemic model with non-linear incidence rate. Applied Math. Sci., 9: 989-1002.
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  60. Gul, T., S. Islam, R.A. Shah, I. Khan, S. Shafie and M.A. Khan, 2015. Analysis of thin film flow over a vertical oscillating belt with a second grade fluid. Eng. Sci. Technol. Int. J., 18: 207-217.
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  61. Gul, T., N. Jamal, S. Islam, M.A. Khan and H. Rashid, 2015. Temperature depe ndent viscosity of a thin film fluid on a vertical belt with slip boundary conditions. J. Applied Environ. Biol. Sci., 5: 157-162.

  62. Gul, T., M.T. Imran, M.A. Khan, S. Islam and H. Rashid, 2015. ADM solution of variable viscosity of a MHD second order thin layer on a lubricating vertical belt. J. Applied Environ. Biol. Sci., 5: 176-183.

  63. Gul, T., M. Jan, Z. Shah, S. Islam and M.A. Khan, 2015. Unsteady transient couette and poiseuille flow under the effect of magneto-hydrodynamics and temperature. J. Applied Environ. Biol. Sci., 5: 339-353.
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  64. Gul, T., I. Rehman, S. Islam, M.A. Khan, W. Ullah and Z. Shah, 2015. Unsteady third order fluid flow with heat transfer between two vertical oscillating plates. J. Applied Environ. Biol. Sci., 5: 72-79.

  65. Gul, T., I. Khan, M.A. Khan, S. Islam, T. Akhtar and S. Nasir, 2015. Unsteady second order fluid flow between two oscillating plates. J. Applied Environ. Biol. Sci., 5: 52-62.

  66. Ghani, F., T. Gul, S. Islam, R.A. Shah, I. Khan et al., 2015. Unsteady MHD thin film flow of a third grade fluid over an oscillating inclined belt embedded in a porous medium. Thermal Sci. 10.2298/TSCI141128054G.
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  67. Ayaz, M., T. Gul, S. Islam and M.A. Khan, 2015. Analysis of ellis fluid in wire coating. VFAST Trans. Math., 7: 1-13.

  68. Ali, F., T. Gul, Z. Shah, M.A. Khan and S. Islam, 2015. Oscillatory flow of unsteady oldroyd-B fluid with magnetic field between two vertical plates. J. Applied Environ. Biol. Sci., 5: 91-102.

  69. Shah, S.A., T. Gul, S. Islam, S. Nasir, M.A. Khan, R.A Shah and H. Rasheed, 2014. HPM solution of an unsteady non-newtonian fluid between stationary and oscillating plates. J. Applied Environ. Biol. Sci., 4: 203-212.

  70. Sanela, J., T. Gul, S. Islam, M.A. Khan and R.A. Shah, 2014. Flow of unsteady second grade fluid between two vertical plates when one of the plate oscillating and other is stationary. J. Applied Environ. Biol. Sci., 4: 41-52.

  71. Sadiq, S.F., M.A. Khan, S. Islam, G. Zaman, H. Jung and S.A. Khan, 2014. Optimal control of an epidemic model of leptospirosis with nonlinear saturated incidences. Annu. Res. Rev. Biol., 4: 560-576.
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  72. Rasheed, H., T. Gul, S. Islam, S. Nasir, M.A. Khan and A. Gul, 2014. Study of couette and poiseuille flows of an unsteady MHD third grade fluid. J. Applied Environ. Biol. Sci., 4: 1-11.

  73. Khan, M.A., S.F. Saddiq, S. Khan, S. Islam and F. Ahmad, 2014. Application of homotopy perturbation method to an SIR epidemic model. J. Applied Environ. Biol. Sci., 4: 49-54.
    Direct Link  |  

  74. Khan, M.A., S.F. Saddiq, S. Islam, I. Khan and D.L.C. Ching, 2014. Epidemic model of leptospirosis containing fractional order. Abstract Applied Anal., Vol. 2014. 10.1155/2014/317201.
    CrossRef  |  

  75. Khan, M.A., S. Islam, S.A. Khan, I. Khan, S. Shafie and T. Gul, 2014. Prevention of Leptospirosis infected vector and human population by multiple control variables. Abstract Applied Anal., Vol. 2014. 10.1155/2014/619035.
    CrossRef  |  

  76. Khan, M.A., S. Islam and S.A. Khan, 2014. Mathematical modeling towards the dynamical interaction of leptospirosis. Applied Math. Inform. Sci., 8: 1049-1056.
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  77. Khan, A., T. Gul, S. Islam, M.A. Khan, I. Khan, S. Shafie and W. Ullah, 2014. Oham solution of thin film non-newtonian fluid on a porous and lubricating vertical belt. J. Applied Environ. Biol. Sci., 4: 115-126.

  78. Gul, T., S. Islam, K. Khan, M.A. Khan, R.A. Shah, A. Gul and M. Ullah, 2014. Thin film flow analysis of a MHD third grade fluid on a vertical belt with no-slip boundary conditions. J. Applied Environ. Biol. Sci., 4: 71-84.

  79. Gul, T., R.A. Shah, S. Islam, M. Ullah, M.A. Khan, A. Zaman and Z. Haq, 2014. Exact solution of two thin film non-newtonian immiscible fluids on a vertical belt. Basic. Applied Sci. Res., 4: 283-288.

  80. Ghaffar, F., N. Badshah, M.A. Khan and S. Islam, 2014. Multigrid method for 2D Helmholtz equation using higher order finite difference scheme accelerated by Krylov subspace. J. Applied Environ. Biol. Sci., 4: 169-179.

  81. Ghaffar, F., N. Badshah, M. Ullah, M.A. Khan and S. Islam, 2014. Multigrid method for 2D helmholtz equation using higher order finite difference scheme with variable wave number (k). J. Applied Environ. Biol. Sci., 4: 90-99.

  82. Saddiq, S.F., M.A. Khan, S.A. Khan, F. Ahmad and M. Ullah, 2013. Analytical solution of an SEIV epidemic model by Homotopy Perturbation method. VFAST Trans. Math., 1: 1-7.
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  83. Saddiq, S.F., M.A. Khan, S. Islam, G. Zaman, N. Khalid and S.I.A. Shah, 2013. Optimal control of an epidemic model of leptospirosis with time delay. Life Sci. J., 10: 292-298.

  84. Khan, M.A., S. Islam, S.A. Khan and G. Zaman, 2013. Global stability of vector-host disease with variable population size. BioMed Res. Int., Vol. 2013. 10.1155/2013/710917.
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  85. Khan, M.A., S. Islam, M. Ullah, S.A. Khan, G. Zaman, M. Arif and S.F. Sadiq, 2013. Application of homotopy perturbation method to vector host epidemic model with non-linear incidences. Res. J. Recent Sci., 2: 90-95.

  86. Khan, M.A., S. Islam, M. Ullah, S.A. Khan, G. Zaman and S.F. Saddiq, 2013. Analytical Solution of the Leptospirosis Epidemic model by Homotopy Perturbation method. Res. J. Recent Sci., 2: 66-71.

  87. Khan, M.A., S. Islam, M. Ullah, A. Zaman, T. Gul, Z. Haq and F.S. Sadiq, 2013. Global dynamics and stability of SIR epidemic model. J. Basic Applied Sci. Res., 4: 125-135.

  88. Khan, M.A., S. Islam, M. Arif and Zahoor ul Haq, 2013. Transmission model of hepatitis B virus with the migration effect. BioMed Res. Int., Vol. 2013. 10.1155/2013/150681.
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  89. Zaman, G., M.A. Khan, S. Islam, M.I. Chohan and I.H. Jung, 2012. Modeling dynamical interactions between leptospirosis infected vector and human population. Applied Math. Sci., 6: 1287-1302.

  90. Khan, M.A., G. Zaman, S. Islam and M.I. Chohan, 2012. Optimal campaign in leptospirosis epidemic by multiple control variables. Applied Math., 3: 1655-1663.
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