Global dynamics of humoral immunity Chikungunya virus with two routes of infection and Holling type-II

Volume 19, Issue 2, pp 65--73 http://dx.doi.org/10.22436/jmcs.019.02.01
Publication Date: May 01, 2019 Submission Date: April 13, 2016 Revision Date: March 31, 2019 Accteptance Date: April 04, 2019

Authors

A. M. Elaiw - Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. S. E. Almalki - Jeddah College of Technology, Technical and Vocational Training Corporation, P. O. Box 17608, Jeddah 21494, Saudi Arabia. A. D. Hobiny - Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.


Abstract

In this work, we analyze the global dynamics of within-host Chikungunya virus (CHIKV) infection model with humoral immune response. We incorporate two modes of infections, attaching a CHIKV to a host monocyte, and contacting an infected monocyte with an uninfected monocyte. The infection incident rate is given by Holling type-II. The basic reproduction number \(\mathcal{R}_{0}\) is used to prove that the CHIKV-free equilibrium \(E_{0}\) is globally asymptotically stable when \(\mathcal{R}_{0}\leq1\) and the infected equilibrium \(E_{1}\) is globally asymptotically stable when \(\mathcal{R}_{0}>1\). Numerical simulations have been performed to confirm the theoretical results.


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ISRP Style

A. M. Elaiw, S. E. Almalki, A. D. Hobiny, Global dynamics of humoral immunity Chikungunya virus with two routes of infection and Holling type-II, Journal of Mathematics and Computer Science, 19 (2019), no. 2, 65--73

AMA Style

Elaiw A. M., Almalki S. E., Hobiny A. D., Global dynamics of humoral immunity Chikungunya virus with two routes of infection and Holling type-II. J Math Comput SCI-JM. (2019); 19(2):65--73

Chicago/Turabian Style

Elaiw, A. M., Almalki, S. E., Hobiny, A. D.. "Global dynamics of humoral immunity Chikungunya virus with two routes of infection and Holling type-II." Journal of Mathematics and Computer Science, 19, no. 2 (2019): 65--73


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