The role of transmissible diseases in the Holling-Tanner predator-prey model
From MaRDI portal
Publication:884288
DOI10.1016/j.tpb.2006.06.007zbMath1112.92053OpenAlexW2059350553WikidataQ51722746 ScholiaQ51722746MaRDI QIDQ884288
Publication date: 13 June 2007
Published in: Theoretical Population Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.tpb.2006.06.007
Epidemiology (92D30) Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items (61)
Effects of additional food on an ecoepidemic model with time delay on infection ⋮ Disease-induced chaotic oscillations and its possible control in a predator-prey system with disease in predator ⋮ AN ECO-EPIDEMIOLOGICAL MODEL WITH INFECTIOUS DISEASE IN FOOD CHAIN ⋮ Spatiotemporal dynamics of the epidemic transmission in a predator-prey system ⋮ Dynamical complexity of a delay-induced eco-epidemic model with Beddington-DeAngelis incidence rate ⋮ Wave of chaos in a spatial eco-epidemiological system: generating realistic patterns of patchiness in rabbit-lynx dynamics ⋮ Global dynamics of a delayed eco-epidemiological model with Holling type-III functional response ⋮ Asymptotic analysis of schistosomiasis persistence in models with general functions ⋮ Dynamical behavior of a class of prey-predator system with impulsive state feedback control and Beddington-DeAngelis functional response ⋮ Dynamics of a predator-prey model with disease in the predator ⋮ Complex dynamics of sexually reproductive generalist predator and gestation delay in a food chain model: double Hopf-bifurcation to chaos ⋮ Study of a Predator-Prey System with Monod-Haldane Functional Response and Harvesting ⋮ A Mathematical Study of a Two Species Eco-Epidemiological Model with Different Predation Principles ⋮ Pattern formation of a spatial predator-prey system ⋮ Global dynamic analysis of a H7N9 avian-human influenza model in an outbreak region ⋮ Effect of multiple delays on the dynamics of cannibalistic prey–predator system with disease in both populations ⋮ A Generalist Predator Regulating Spread of a Wildlife Disease: Exploring Two Infection Transmission Scenarios ⋮ Mathematical analysis of the global dynamics of an eco-epidemiological model with time delay ⋮ An eco-epidemiological predator-prey model where predators distinguish between susceptible and infected prey ⋮ Bogdanov-Takens bifurcation for a diffusive predator-prey system with nonlocal effect and prey refuge ⋮ Dynamical properties of a delay prey-predator model with disease in the prey species only ⋮ Analysis of an eco‐epidemiological system with Lévy noise ⋮ Exploring dynamical complexity of a cannibalistic eco‐epidemiological model with multiple time delay ⋮ Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology ⋮ A Leslie-Gower Holling-type II ecoepidemic model ⋮ Analysis of a spatial predator-prey model with delay ⋮ Effect of delay in a Lotka-Volterra type predator-prey model with a transmissible disease in the predator species ⋮ Ecoepidemiology: a More Comprehensive View of Population Interactions ⋮ Bifurcation analysis of a modified Holling-Tanner predator-prey model with time delay ⋮ Stability and Hopf bifurcation of a mathematical model describing bacteria-fish interaction in marine environment ⋮ The dynamics of an eco-epidemiological model with nonlinear incidence rate ⋮ Unnamed Item ⋮ Effect of diffusion and cross-diffusion in a predator-prey model with a transmissible disease in the predator species ⋮ Consumer-resource coexistence as a means of reducing infectious disease ⋮ Diseased prey predator model with general Holling type interactions ⋮ Comparing predator-prey models with hidden and explicit resources ⋮ Analysis of stochastic predator-prey model with disease in the prey and Holling type II functional response ⋮ Traveling wave solutions of a nonlocal dispersal predator-prey model with spatiotemporal delay ⋮ Impact on the predator population while lethal disease spreads in the prey ⋮ Ecoepidemic models with disease incubation and selective hunting ⋮ A predator-prey model with disease in the predator species only ⋮ Global stability and Hopf bifurcation of an eco-epidemiological model with time delay ⋮ A cannibalistic eco-epidemiological model with disease in predator population ⋮ Dynamic analysis of Beddington-DeAngelis predator-prey system with nonlinear impulse feedback control ⋮ Mathematical analysis of a predator-prey eco-epidemiological system under the reproduction of infected prey ⋮ Asymptotic stability of one prey and two predators model with two functional responses ⋮ Global stability and Hopf bifurcation of a delayed eco-epidemiological model with Holling type II functional response ⋮ PERMANENCE AND COMPLEXITY OF THE ECO-EPIDEMIOLOGICAL MODEL WITH IMPULSIVE PERTURBATION ⋮ EFFECT OF PARASITIC INFECTION IN THE LESLIE–GOWER PREDATOR–PREY MODEL ⋮ Emergence of Spatial Patterns in a Damaged Diffusive Eco-Epidemiological System ⋮ Stability analysis of predator-prey system with migrating prey and disease infection in both species ⋮ Dynamic analysis of a fractional order prey-predator interaction with harvesting ⋮ A study of chaotic dynamics and its possible control in a predator-prey model with disease in the predator ⋮ Comparison of hidden and explicit resources in ecoepidemic models of predator-prey type ⋮ Mathematical study of a bacteria-fish model with level of infection structure ⋮ Stability and Hopf Bifurcation of a Delayed Prey–Predator Model with Disease in the Predator ⋮ Global stability analysis and optimal control of a harvested ecoepidemiological prey predator model with vaccination and taxation ⋮ The dynamics of an eco-epidemiological model with distributed delay ⋮ Spatial patterns of a fractional type cross-diffusion Holling-Tanner model ⋮ Dynamics of One-Consumer-Two-Resources Ecological System with Beddington-Deangelis Functional Response ⋮ Nonlinear dynamics of a delayed Leslie predator-prey model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Predator-prey populations with parasitic infection
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- A model of predator-prey dynamics as modified by the action of a parasite
- Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
- Dynamic models of infectious diseases as regulators of population sizes
- Disease transmission models with density-dependent demographics
- The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity
- 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
- Four predator prey models with infectious diseases
- Effects of quarantine in six endemic models for infectious diseases
- The role of virus infection in a simple phytoplankton zooplankton system
- The Mathematics of Infectious Diseases
- Modelling Biological Populations in Space and Time
- Dynamics of a Predator-Prey Model
- The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
- Relating disease and predation: equilibria of an epidemic model
- Global Stability for a Class of Predator-Prey Systems
- Modeling and analysis of a predator-prey model with disease in the prey
This page was built for publication: The role of transmissible diseases in the Holling-Tanner predator-prey model