Relating disease and predation: equilibria of an epidemic model

DOI10.1002/mma.573zbMath1079.34017OpenAlexW1971568039MaRDI QIDQ4680495

Manuel Delgado, Mónica Molina-Becerra, Antonio Suárez

Publication date: 1 June 2005

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle/11441/40195

zbMATH Keywords

global stabilityDulac criterionepidemicPredator-prey

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Physiology (general) (92C30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (8)

Spatiotemporal dynamics of the epidemic transmission in a predator-prey system ⋮ Analysis of an age-structured predator-prey model with disease in the prey ⋮ The role of transmissible diseases in the Holling-Tanner predator-prey model ⋮ Ecoepidemiology: a More Comprehensive View of Population Interactions ⋮ Biological control of a predator–prey system through provision of an infected predator ⋮ Ecoepidemic models with disease incubation and selective hunting ⋮ Ecoepidemics with infected prey in herd defence: the harmless and toxic cases ⋮ An ecogenetic disease-affected predator–prey model

Cites Work

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• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• The effects of diseases on competing species
• Four predator prey models with infectious diseases
• Non-linear age-dependent population dynamics
• Asymptotic behavior of disease-free equilibriums of an age-structured predator-prey model with disease in the prey
• The Mathematics of Infectious Diseases
• Age-structured predator-prey models
• 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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