EFFECT OF PARASITIC INFECTION IN THE LESLIE–GOWER PREDATOR–PREY MODEL

DOI10.1142/S0218339008002642zbMath1155.92041OpenAlexW2040462663WikidataQ115523424 ScholiaQ115523424MaRDI QIDQ3608717

Mainul Haque, Ezio Venturino

Publication date: 5 March 2009

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

Full work available at URL: https://doi.org/10.1142/s0218339008002642

zbMATH Keywords

boundednesslocal stabilitypersistencediseaseecoepiddemiology

Mathematics Subject Classification ID

Epidemiology (92D30) 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 (11)

Switching from simple to complex dynamics in a predator-prey-parasite model: an interplay between infection rate and incubation delay ⋮ A MINIMAL MODEL FOR ECOEPIDEMICS WITH GROUP DEFENSE ⋮ Complex dynamics of sexually reproductive generalist predator and gestation delay in a food chain model: double Hopf-bifurcation to chaos ⋮ A Generalist Predator Regulating Spread of a Wildlife Disease: Exploring Two Infection Transmission Scenarios ⋮ A Leslie-Gower Holling-type II ecoepidemic model ⋮ Ecoepidemiology: a More Comprehensive View of Population Interactions ⋮ The dynamics of an eco-epidemiological model with nonlinear incidence rate ⋮ Metaecoepidemic models with sound and infected prey migration ⋮ Complexity in a predator-prey-parasite model with nonlinear incidence rate and incubation delay ⋮ Chaos in delay-induced Leslie-Gower prey-predator-parasite model and its control through prey harvesting ⋮ ON A PREY–PREDATOR–PATHOGEN MODEL WITH PREY PREFERENCE: A THEORETICAL STUDY

Cites Work

• Predator-prey populations with parasitic infection
• The role of transmissible diseases in the Holling-Tanner predator-prey model
• A model of predator-prey dynamics as modified by the action of a parasite
• The influence of diseases on Lotka-Volterra systems
• Modeling the role of viral disease in recurrent phytoplankton blooms
• The effects of diseases on competing species
• Global stability for the SEIR model in epidemiology
• Global dynamics of a SEIR model with varying total population size
• Periodic orbits of competitive and cooperative systems
• Compound matrices and ordinary differential equations
• How diseases affect symbiotic communities
• The properties of a stochastic model for the predator-prey type of interaction between two species
• Global Stability for a Class of Predator-Prey Systems
• A predator–prey model with disease in the prey species only

This page was built for publication: EFFECT OF PARASITIC INFECTION IN THE LESLIE–GOWER PREDATOR–PREY MODEL