Existence of periodic solutions for periodic eco-epidemic models with disease in the prey

DOI10.1016/j.jmaa.2017.03.074zbMath1368.34064arXiv1601.05125OpenAlexW2542387235WikidataQ115570328 ScholiaQ115570328MaRDI QIDQ2396875

César M. Silva

Publication date: 26 May 2017

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

Full work available at URL: https://arxiv.org/abs/1601.05125

zbMATH Keywords

non-autonomousMawhin's continuation theoremeco-epidemiological

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) (Semi-) Fredholm operators; index theories (47A53) Ecology (92D40) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Nonautonomous smooth dynamical systems (37C60)

Related Items (6)

Positive periodic solutions of an eco-epidemic model with Crowley-Martin type functional response and disease in the prey ⋮ An eco‐epidemiological model with general functional response of predator to prey ⋮ A reaction-diffusion-advection model for Aedes aegypti mosquitoes in a time-periodic environment ⋮ Ecoepidemiological model and analysis of prey-predator system ⋮ Random perturbations of an eco-epidemiological model ⋮ Dynamics of a discrete eco-epidemiological model with disease in the prey

Cites Work

• The dynamics of an eco-epidemic model with distributed time delay and impulsive control strategy
• Hopf bifurcation in an eco-epidemic model
• The asymptotic behavior of a nonautonomous eco-epidemic model with disease in the prey
• Stability and Hopf bifurcation analysis of an eco-epidemic model with a stage structure
• Dynamic behavior of an eco-epidemic system with impulsive birth
• Threshold dynamics for compartmental epidemic models in periodic environments
• Ordinary differential equations with nonlinear boundary conditions
• An impulsive controlled eco-epidemic model with disease in the prey

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