Dynamic behavior of an eco-epidemic system with impulsive birth

DOI10.1016/J.JMAA.2008.04.043zbMath1139.92027OpenAlexW2031655312MaRDI QIDQ932351

Zhen Jin, Yakui Xue, Aihua Kang

Publication date: 10 July 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.043

zbMATH Keywords

persistenceFloquet theorycoincidence degree theory

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Ecology (92D40)

Related Items (5)

A mathematical study of an eco-epidemiological system on disease persistence and extinction perspective ⋮ Existence of periodic solutions for periodic eco-epidemic models with disease in the prey ⋮ The dynamics of an eco-epidemic model with distributed time delay and impulsive control strategy ⋮ PID controller singularly perturbing impulsive differential equations and optimal control problem ⋮ Two models of interfering predators in impulsive biological control

Cites Work

• Predator-prey populations with parasitic infection
• The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive
• The dynamics of an infectious disease in a population with birth pulses
• A predator-prey model with disease in the prey
• Classical predator-prey system with infection of prey population?a mathematical model
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