Predator - prey/host - parasite: a fragile ecoepidemic system under homogeneous infection incidence

DOI10.3934/dcdsb.2020328zbMath1466.92221OpenAlexW3095691537MaRDI QIDQ2026606

Publication date: 20 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020328

zbMATH Keywords

coexistence epidemiology climate change bistability ecology environmental change multiple interior equilibria homogeneous incidence infection ratio

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Growth and boundedness of solutions to ordinary differential equations (34C11) Ecology (92D40)

Cites Work

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Persistence aspect of a predator-prey model with disease in the prey
Case fatality models for epidemics in growing populations
Prey-predator models with infected prey and predators
Predator-prey populations with parasitic infection
Epidemics in two competing species
Persistence in three-species food chain models with group defense
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations
The influence of diseases on Lotka-Volterra systems
Modeling the role of viral disease in recurrent phytoplankton blooms
Four predator prey models with infectious diseases
Do fatal infectious diseases eradicate host species?
Times from infection to disease-induced death and their influence on final population sizes after epidemic outbreaks
Sensitivity of the dynamics of the general Rosenzweig-Macarthur model to the mathematical form of the functional response: a bifurcation theory approach
A ratio-dependent predator-prey model with disease in the prey
The role of virus infection in a simple phytoplankton zooplankton system
Role of infection on the stability of a predator-prey system with several response functions -- a comparative study
Mathematical modelling of prey-predator interaction with disease in prey
A Leslie-Gower Holling-type II ecoepidemic model
Existence of limit cycles in a predator-prey system with a functional response of the form \(\mathrm{Arctan}(ax)\)
Existence of multiple limit cycles in a predator-prey model with \(\arctan(ax)\) as functional response
Species coexistence and periodicity in host-host-pathogen models
Ecoepidemics with infected prey in herd defence: the harmless and toxic cases
Stability of the Endemic Coexistence Equilibrium for One Host and Two Parasites
Species decline and extinction: synergy of infectious disease and Allee effect?
When a predator avoids infected prey: a model-based theoretical study
An ecoepidemiological predator-prey model with standard disease incidence
A predator-prey model with disease in the prey
Classical predator-prey system with infection of prey population?a mathematical model
A mathematical model for bovine tuberculosis among buffaloes and lions in the Kruger National Park
Ecoepidemiology: a More Comprehensive View of Population Interactions
An eco‐epidemic model for infectious keratoconjunctivitis caused by Mycoplasma conjunctivae in domestic and wild herbivores, with possible vaccination strategies
Infection in prey population may act as a biological control in ratio-dependent predator–prey models
Host Demographic Allee Effect, Fatal Disease, and Migration: Persistence or Extinction
A mathematical study of a predator–prey model with disease circulating in the both populations
Population collapse to extinction: the catastrophic combination of parasitism and Allee effect
A prey-predator model with infection in both prey and predator
Predator–prey harvesting model with fatal disease in prey
Impact on the predator population while lethal disease spreads in the prey
Analysis of a three species eco-epidemiological model
Modeling and analysis of a predator-prey model with disease in the prey
Analysis of the incidence of poxvirus on the dynamics between red and grey squirrels

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