PERSISTENCE IN A PREY-PREDATOR SYSTEM WITH DISEASE IN THE PREY

DOI10.1142/S0218339003000634zbMath1041.92034WikidataQ115523448 ScholiaQ115523448MaRDI QIDQ4736664

Debasis Mukherjee

Publication date: 6 August 2004

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

zbMATH Keywords

delaypersistenceswitchingimpermanencemicroparasitePrey-predator

Mathematics Subject Classification ID

Epidemiology (92D30) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

Persistence aspect of a predator-prey model with disease in the prey ⋮ A mathematical study of an eco-epidemiological system on disease persistence and extinction perspective ⋮ Extinction of disease pathogenesis in infected population and its subsequent recovery: a stochastic approach ⋮ Propagation of infection and the prey-predator interplay ⋮ Hopf bifurcation in an eco-epidemic model ⋮ The effect of predator density dependent transmission rate in an eco-epidemic model ⋮ Mathematical Modeling of Human Behaviors During Catastrophic Events: Stability and Bifurcations ⋮ A PREY–PREDATOR MODEL WITH MICROPARASITE INFECTION IN THE PREDATOR ⋮ Effect of diffusion on a two-species eco-epidemiological model ⋮ VIRUS REPLICATION FACTOR MAY BE A CONTROLLING AGENT FOR OBTAINING DISEASE-FREE SYSTEM IN A MULTI-SPECIES ECO-EPIDEMIOLOGICAL SYSTEM ⋮ EFFECT OF TIME-DELAY ON A PREY–PREDATOR MODEL WITH MICROPARASITE INFECTION IN THE PREDATOR ⋮ Stability analysis and persistence of a phage therapy model ⋮ Fractional-order PD control at Hopf bifurcation in a delayed predator-prey system with trans-species infectious diseases

Cites Work

• A criterion for permanent coexistence of species, with an application to a two-prey one-predator system
• Predator-prey populations with parasitic infection
• Persistence in models of three interacting predator-prey populations
• A mathematical model of facultative mutualism with populations interacting in a food chain
• A model of predator-prey dynamics as modified by the action of a parasite
• Persistence in a model of three competitive populations
• A general cooperation theorem for hypercycles
• Persistence in food chains with general interactions
• Persistence in Infinite-Dimensional Systems
• Modeling and analysis of a predator-prey model with disease in the prey

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