Geodesic
Stability of pathogen dynamics models with viral and cellular infections and immune impairment :
Elaiw, A. M. 1   ; Raezah, A. A. 2   ; Alofi, B. S. 1
1 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
2 Department of Mathematics, Faculty of Science, King Khalid University, P. O. Box 25145, Abha 61466, Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 4, p. 456-468 Cet article a éte moissonné depuis la source International Scientific Research Publications

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We study the global stability analysis of pathogen infection models with immune impairment. Both pathogen-to-susceptible and infected-to-susceptible transmissions have been considered. We drive the basic reproduction parameter $\mathcal{R}_{0}$, which determines the global dynamics of models. Using the method of Lyapunov function, we established the global stability of the steady states of the models. Numerical simulations are used to confirm the theoretical results.

DOI : 10.22436/jnsa.011.04.02
Classification : 34D23, 92D30, 37B25
Keywords: Global stability, pathogen infection, immune impairment transfer, Lyapunov function, cell-to-cell transmission

Elaiw, A. M.   1   ; Raezah, A. A.   2   ; Alofi, B. S.   1

1 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
2 Department of Mathematics, Faculty of Science, King Khalid University, P. O. Box 25145, Abha 61466, Saudi Arabia 
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Elaiw, A. M. ; Raezah, A. A. ; Alofi, B. S. . Stability of pathogen dynamics models with viral and cellular infections and immune impairment. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 4, p. 456-468. doi: 10.22436/jnsa.011.04.02

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