Global analyses of a state-dependent impulsive system for an SIRS model with a nonlinear incidence rate

, however, the model may exhibit bistability between the disease-free periodic solution and an endemic periodic solution, where the final outcome depends sensitively on the initial infection size, which is consistent with the weak transmissibility and controllable low-level prevalence.

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Publication Details

Journal
Journal of Biological Dynamics
Published
2026-09-18
DOI
https://doi.org/10.1080/17513758.2026.2732280
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
0.00

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article

Global analyses of a state-dependent impulsive system for an SIRS model with a nonlinear incidence rate

Chenxi Huang, Sanyi Tang, Qianqian Zhang
Journal of Biological Dynamics
Mathematical and Theoretical Epidemiology and Ecology Models
article

Global analyses of a state-dependent impulsive system for an SIRS model with a nonlinear incidence rate

Chenxi Huang, Sanyi Tang, Qianqian Zhang
article en

Abstract

, however, the model may exhibit bistability between the disease-free periodic solution and an endemic periodic solution, where the final outcome depends sensitively on the initial infection size, which is consistent with the weak transmissibility and controllable low-level prevalence.

Journal of Biological DynamicsVol. 20(1)
Shaanxi Normal University (CN)
National Natural Science Foundation of China, National Key Research and Development Program of China
Openalex Percentile: Top 9%
Mathematical and Theoretical Epidemiology and Ecology Models
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