Continuous-time predator–prey models with parasites

DOI10.1080/17513750802283253zbMath1155.92042OpenAlexW1995869854WikidataQ51857932 ScholiaQ51857932MaRDI QIDQ3611805

Sophia R.-J. Jang, James Baglama

Publication date: 3 March 2009

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513750802283253

zbMATH Keywords

global asymptotic stabilityuniform persistencecontinuous-time Markov chainpredator-prey-parasite interaction

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) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

A delayed prey-predator system with migration and disease infection, Prey-predator dynamics with prey refuge providing additional food to predator, The impact of predation on the coexistence and competitive exclusion of pathogens in prey, Neimark-Sacker bifurcation and chaos control in discrete-time predator-prey model with parasites, Stability analysis of predator-prey system with migrating prey and disease infection in both species

Cites Work

• Predator-prey populations with parasitic infection
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Four predator prey models with infectious diseases
• The Mathematics of Infectious Diseases
• A predator-prey model with disease in the prey
• Persistence in dynamical systems
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