Abstract
A SIRS epidemic model is established for the case of nonlinear infection rate, constant immigration and exponential birth, and the immunity acquired by individuals disappeared after a period of time. The threshold conditions for the existence of the equilibrium point are discussed. With the help of Hurwitz criterion and Bendixson theorem, Lyapunov function is used to discuss the global asymptotic stability of positive equilibrium point.
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Wang, F. (2020). Global Analysis of a Class of SIRS Models with Constant Input and Nonlinear Infectivity. In: Jain, V., Patnaik, S., Popențiu Vlădicescu, F., Sethi, I. (eds) Recent Trends in Intelligent Computing, Communication and Devices. Advances in Intelligent Systems and Computing, vol 1006. Springer, Singapore. https://doi.org/10.1007/978-981-13-9406-5_32
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DOI: https://doi.org/10.1007/978-981-13-9406-5_32
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