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• W3166273503 abstract "In this paper, we propose and investigate an SIRS model with age structure and two delays. Both the infected and the recovered individuals have age structure, the infection rate (from the infective to the susceptible) and the immune loss rate (from the recovered to the susceptible) are related to two independent time delays, respectively. We prove that the proposed age structured SIRS model is well-posed by using the [Formula: see text]-semigroup theory. The basic reproduction number [Formula: see text] is given, and the unique endemic equilibrium exists when [Formula: see text], while the disease-free equilibrium always exists. A rigorous mathematical analysis for the stability of two equilibria is provided. The disease-free equilibrium is local asymptotically stable if [Formula: see text], and the endemic equilibrium is local asymptotically stable if [Formula: see text] and [Formula: see text]. Finally, we give numerical simulations to verify our results." @default.
• W3166273503 created "2021-06-22" @default.
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• W3166273503 date "2021-05-28" @default.
• W3166273503 modified "2023-10-17" @default.
• W3166273503 title "Dynamics of an SIRS model with age structure and two delays" @default.
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• W3166273503 doi "https://doi.org/10.1142/s179352452150056x" @default.
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