Regimes of biological invasion in a predator-prey system with the Allee effect

From MaRDI portal
Publication:263470

DOI10.1016/j.bulm.2004.09.003zbMath1334.92363OpenAlexW2094924318WikidataQ51976467 ScholiaQ51976467MaRDI QIDQ263470

Bai-Lian Li, Sergei V. Petrovskii, Andrew Yu. Morozov

Publication date: 5 April 2016

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulm.2004.09.003




Related Items

Adaptation of species as response to climate change: predator-prey mathematical modelOn the importance of dimensionality of space in models of space-mediated population persistenceEstablishing a beachhead: a stochastic population model with an Allee effect applied to species invasionDynamics and patterns of a diffusive Leslie-Gower prey-predator model with strong Allee effect in preyExistence of non-constant positive stationary solutions of the shadow predator-prey systems with Allee effectSpecies decline and extinction: synergy of infectious disease and Allee effect?Pattern formation of a diffusive predator-prey model with strong allee effect and nonconstant death rateAsymptotic analysis of the bistable Lotka-Volterra competition-diffusion systemA Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populationsTraveling wave solutions of a diffusive ratio-dependent Holling-Tanner system with distributed delayAllee-effect-induced instability in a reaction-diffusion predator-prey modelWave phenomena and edge of chaos in a diffusive predator-prey system under Allee effectAnalysis of Stochastic Bifurcations in the Eco-Epidemiological Oscillatory Model with Weak Allee EffectStochastic Sensitivity Analysis and Control for Ecological Model with the Allee EffectSpatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.Effect of cross-diffusion on the stationary problem of a predator-prey system with a protection zoneThe role of predator fertility and prey threshold bounds on the global and local dynamics of a predator-prey model with a prey out-flux dilution effectSpatiotemporal pattern formation in 2D prey-predator system with nonlocal intraspecific competitionExpansion or extinction: Deterministic and stochastic two-patch models with Allee effectsWeak Allee effects and species coexistencePredator-prey system with strong Allee effect in preyContinuous-time predator-prey systems with allee effects in the preyA host–parasitoid system with predation-driven component Allee effects in host populationAn exact solution of a diffusive predator–prey systemDynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in preySelf-organized wave pattern in a predator-prey modelA free boundary problem for \textit{Aedes aegypti} mosquito invasionSpatiotemporal dynamics of a diffusive Leslie-Gower prey-predator model with strong allee effectLocating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasionComplex dynamics of a diffusive predator-prey model with strong allee effect and threshold harvestingModeling the effects of density dependent emigration, weak Allee effects, and matrix hostility on patch-level population persistenceDynamics of a generalized Ricker–Beverton–Holt competition model subject to Allee effectsImpact of Colored Noise on Population Model with Allee EffectOn a 2D model of avascular tumor with weak Allee effectBifurcation analysis in a diffusive Segel-Jackson modelSensitivity analysis of stochastic attractors and noise-induced transitions for population model with Allee effect