Population collapse to extinction: the catastrophic combination of parasitism and Allee effect
From MaRDI portal
Publication:5258087
DOI10.1080/17513750903026429zbMath1315.92060OpenAlexW2055219977WikidataQ60468319 ScholiaQ60468319MaRDI QIDQ5258087
Publication date: 25 June 2015
Published in: Journal of Biological Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17513750903026429
Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)
Related Items (25)
Do fatal infectious diseases eradicate host species? ⋮ Dynamics of SI epidemic with a demographic Allee effect ⋮ Host-pathogen dynamics under sterilizing pathogens and fecundity-longevity trade-off in hosts ⋮ Noise-induced extinction for a ratio-dependent predator-prey model with strong Allee effect in prey ⋮ On the Lotka-Volterra competition system with Allee effects ⋮ Sexually transmitted infections and mate-finding Allee effects ⋮ Fatal or harmless: extreme bistability induced by sterilizing, sexually transmitted pathogens ⋮ Diseased social predators ⋮ Dynamical transition and bifurcation of a diffusive predator-prey model with an Allee effect on prey ⋮ A model for voles interference in cultivated orchards ⋮ Ecoepidemiology: a More Comprehensive View of Population Interactions ⋮ A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness ⋮ Impacts of infection avoidance for populations affected by sexually transmitted infections ⋮ Reduced fertility and asymptotics of the logistic model ⋮ Dynamics of SI models with both horizontal and vertical transmissions as well as Allee effects ⋮ Dynamical behavior of an epidemiological model with a demographic allee effect ⋮ Fatal disease and demographic Allee effect: population persistence and extinction ⋮ Multiscale analysis of compartment models with dispersal ⋮ A global picture of the gamma-Ricker map: a flexible discrete-time model with factors of positive and negative density dependence ⋮ Predator - prey/host - parasite: a fragile ecoepidemic system under homogeneous infection incidence ⋮ Predator-prey oscillations can shift when diseases become endemic ⋮ Dynamics of a predator-prey system with prey subject to Allee effects and disease ⋮ Allee effect can simplify the dynamics of a prey-predator model ⋮ Bifurcation analysis of the predator-prey model with the Allee effect in the predator ⋮ Competitive exclusion and coexistence in a Leslie–Gower competition model with Allee effects
Cites Work
- Population models for diseases with no recovery
- Patterns in the effects of infectious diseases on population growth
- The minimum effort required to eradicate infections in models with backward bifurcation
- Disease transmission models with density-dependent demographics
- Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations
- Modeling and analyzing HIV transmission: The effect of contact patterns
- Population size dependent incidence in models for diseases without immunity
- Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
- Backwards bifurcations and catastrophe in simple models of fatal diseases
- Progression age enhanced backward bifurcation in an epidemic model with super-infection
- Analysis of an epidemic model with bistable equilibria using the Poincaré index.
- A simple vaccination model with multiple endemic states
- A simple SIS epidemic model with a backward bifurcation
- Influence of backward bifurcation on interpretation of \(R_0\) in a model of epidemic tuberculosis with reinfection
- Disease-induced stabilization of predator-prey oscillations
- Demography and epidemics
- A core group model for disease transmission
- Analysis of a disease transmission model in a population with varying size
- A diffusive SI model with Allee effect and application to FIV
- Models for the spread of universally fatal diseases
- The Mathematics of Infectious Diseases
- Simulating, Analyzing, and Animating Dynamical Systems
- Species decline and extinction: synergy of infectious disease and Allee effect?
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- MATCONT
This page was built for publication: Population collapse to extinction: the catastrophic combination of parasitism and Allee effect
