DETERMINISTIC PREDATOR–PREY MODELS WITH DISEASE IN THE PREY POPULATION

DOI10.1142/S0218339020500151zbMath1451.92258OpenAlexW3081169163WikidataQ115523342 ScholiaQ115523342MaRDI QIDQ5130477

Hsiu-Chuan Wei, Sophia R.-J. Jang

Publication date: 4 November 2020

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

Full work available at URL: https://doi.org/10.1142/s0218339020500151

zbMATH Keywords

uniform persistencebistabilitypredator-prey interactiondisease reproductive numberpredator maximum reproductive number

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)

Related Items

On a mathematical model of tumor-immune system interactions with an oncolytic virus therapy ⋮ EXTINCTION AND PERSISTENCE OF A HARVESTED PREY–PREDATOR MODEL INCORPORATING GROUP DEFENCE AND DISEASE IN PREY: SPECIAL EMPHASIS ON STOCHASTIC ENVIRONMENT ⋮ THE BEHAVIOR OF A CLASS HOST-PARASITOID MODELS WITH HOST REFUGE AND STRONG ALLEE EFFECT UPON THE HOST POPULATION ⋮ Invariant measure of a stochastic hybrid predator-prey model with infected prey

Cites Work

• Unnamed Item
• Ecoepidemic predator-prey model with feeding satiation, prey herd behavior and abandoned infected prey
• On the bifurcation analysis of a food web of four species
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Some results on global stability of a predator-prey system
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Four predator prey models with infectious diseases
• Lotka-Volterra type predator-prey models: comparison of hidden and explicit resources with a transmissible disease in the predator species.
• Diseased social predators
• A mathematical model of intraguild predation with prey switching
• Comparison of hidden and explicit resources in ecoepidemic models of predator-prey type
• Effect of emergent carrying capacity in an eco-epidemiological system
• PERIODICALLY PULSED IMMUNOTHERAPY IN A MATHEMATICAL MODEL OF TUMOR-IMMUNE INTERACTION
• NUMERICAL REVISIT TO A CLASS OF ONE-PREDATOR, TWO-PREY MODELS
• Consumer-resource coexistence as a means of reducing infectious disease
• Predator-prey model with disease infection in both populations
• An Ecoepidemic Model with Prey Herd Behavior and Predator Feeding Saturation Response on Both Healthy and Diseased Prey
• Persistence in dynamical systems