THE DYNAMICS OF THE CONSTANT AND PULSE BIRTH IN AN SIR EPIDEMIC MODEL WITH CONSTANT RECRUITMENT

DOI10.1142/S0218339007002118zbMath1279.92049MaRDI QIDQ2871169

Zhen Jin, Cao, Wen-Jun

Publication date: 22 January 2014

Published in: Journal of Biological Systems (Search for Journal in Brave)

zbMATH Keywords

global asymptotical stabilitySIR epidemic modelpulse birthlocal asymptotical stabilityconstant recruitment

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

Related Items (1)

The onset of positive periodic solutions for a biochemical pest management model

Cites Work

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• Pulse vaccination strategy in the SIR epidemic model
• How do ecosystems respond to external perturbations?
• Theoretical examination of the pulse vaccination policy in the SIR epidemic model.
• Dynamic complexities in a single-species discrete population model with stage structure and birth pulses
• The dynamics of an infectious disease in a population with birth pulses
• Dynamic complexities in a seasonal prevention epidemic model with birth pulses
• Optimal pulse fishing policy in stage-structured models with birth pulses

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