THE EXISTENCE OF POSITIVE PERIODIC SOLUTIONS OF AN ECO-EPIDEMIC MODEL WITH IMPULSIVE BIRTH

DOI10.1142/S1793524508000278zbMath1170.34034OpenAlexW2081195591MaRDI QIDQ3608698

Yakui Xue, Zhen Jin, Aihua Kang

Publication date: 5 March 2009

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524508000278

zbMATH Keywords

existenceperiodic solutionscoincidence degreepredator-prey modelimpulsive birthinfected and susceptible predators

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Periodicity in a generalized semi-ratio-dependent predator-prey system with time delays and impulses ⋮ Dynamics of an SI epidemic model with external effects in a polluted environment ⋮ Dynamics of an inshore-offshore fishery model with impulsive pollutant input in inshore area ⋮ Modeling the dynamics of a single-species model with pollution treatment in a polluted environment ⋮ ROLE OF DISEASE PROPAGATION IN MIGRATORY BIRD POPULATION

Cites Work

• Unnamed Item
• Unnamed Item
• Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional differential systems
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive
• The persistence in a Lotka--Volterra competition systems with impulses
• Weak average persistence and extinction of a predator-prey system in a polluted environment with impulsive toxicant input
• The Mathematics of Infectious Diseases
• Exchange of equilibria in two species Lotka-Volterra competition models
• A predator-prey model with disease in the prey
• Modeling and analysis of a predator-prey model with disease in the prey

This page was built for publication: THE EXISTENCE OF POSITIVE PERIODIC SOLUTIONS OF AN ECO-EPIDEMIC MODEL WITH IMPULSIVE BIRTH