Min WU, Pei-Xuan WENG. Stability analysis of a stage-structured diffusive SIR model with delays[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2). DOI: 10.6054/j.jscnun.2013.01.003
Citation:
Min WU, Pei-Xuan WENG. Stability analysis of a stage-structured diffusive SIR model with delays[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2). DOI: 10.6054/j.jscnun.2013.01.003
Min WU, Pei-Xuan WENG. Stability analysis of a stage-structured diffusive SIR model with delays[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2). DOI: 10.6054/j.jscnun.2013.01.003
Citation:
Min WU, Pei-Xuan WENG. Stability analysis of a stage-structured diffusive SIR model with delays[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2). DOI: 10.6054/j.jscnun.2013.01.003
Stability analysis of a stage-structured diffusive SIR model with delays
A stage-structured SIR model with general incidence rate is investigated. The basic reproductive number of the model is determined, and the linear stabilities of the disease-free equilibrium and the endemic equilibrium are obtained by analyzing the distribution of roots of corresponding characteristic equations.