Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera

Journal of Mathematical Biology - Tập 87 - Trang 1-31 - 2023
Junyuan Yang1,2, Peiqi Jia1,2, Jin Wang3, Zhen Jin1,2
1Complex Systems Research Center, Shanxi University, Taiyuan, People’s Republic of China
2Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan, People’s Republic of China
3Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, USA

Tóm tắt

Cholera is an environmentally driven disease where the human hosts both ingest the pathogen from polluted environment and shed the pathogen to the environment, generating a two-way feedback cycle. In this paper, we propose a bidirectionally linked immuno-epidemiological model to study the interaction of within- and between-host cholera dynamics. We conduct a rigorous analysis for this multiscale model, with a focus on the stability and bifurcation properties of each feasible equilibrium. We find that the parameter that represents the bidirectional connection is a key factor in shaping the rich dynamics of the system, including the occurrence of the backward bifurcation and Hopf bifurcation. Numerical results illustrate a practical application of our model and add new insight into the prevention and intervention of cholera epidemics.

Tài liệu tham khảo

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