A predator–prey model with disease in the prey species only

DOI10.1002/mma.815zbMath1115.92049OpenAlexW2039477139MaRDI QIDQ5297150

David Greenhalgh, Mainul Haque

Publication date: 18 July 2007

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

Full work available at URL: https://doi.org/10.1002/mma.815

zbMATH Keywords

simulationboundednessglobal stabilitylocal stabilityHopf bifurcationpredator-prey modeleco-epidemiology

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• Predator-prey populations with parasitic infection
• Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
• Persistence in predator-prey systems with ratio-dependent predator influence
• Unnamed Item
• Unnamed Item

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