Abstract
The application of mathematical biology and dynamical systems has proven to be an effective approach for studying viral infection models. To contribute to this research, our paper proposes a new CHIKV model that takes into account an adaptive immune response and distributed time delays, which accurately reflects the time lag between initial viral contacts and the production of new active CHIKV particles. By analyzing the model’s qualitative behavior, we establish a biological threshold number that can predict whether CHIKV will be cleared from or persist in the body. We demonstrate the global stability of both CHIKV-present and CHIKV-free steady states using the Lyapunov functional method and LaSalle’s invariance principle. In addition, we conduct numerical simulations to examine how time delays can affect the stability of the steady states. Through these simulations, we gain insights into how varying time delays can influence the persistence or clearance of CHIKV within the host.
Recommended Citation
Alade, Taofeek O.; Olaniyi, Samson; Idris, Hassan A.; Al Rahbi, Yaqoob; and Alnegga, Mohammad
(2024).
(R2071) Global Stability Analysis of CHIKV Dynamics Model with Adaptive Immunity and Distributed Time Delays,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 19,
Iss.
1, Article 9.
Available at:
https://digitalcommons.pvamu.edu/aam/vol19/iss1/9