Spatiotemporal complexity in a predator-prey model with weak Allee effects
From MaRDI portal
Publication:2514434
DOI10.3934/mbe.2014.11.1247zbMath1308.35028OpenAlexW2058944387WikidataQ46818896 ScholiaQ46818896MaRDI QIDQ2514434
Malay Banerjee, Weiming Wang, Yun Kang, Yongli Cai
Publication date: 3 February 2015
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2014.11.1247
Hopf bifurcationTuring instabilitydensity dependent death rateprey-dependent Holling type-II functional response
Developmental biology, pattern formation (92C15) Stability theory for integral equations (45M10) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)
Related Items (16)
Bifurcation structure of nonconstant positive steady states for a diffusive predator-prey model ⋮ Bistability induced by generalist natural enemies can reverse pest invasions ⋮ Stationary and non-stationary pattern formation over fragmented habitat ⋮ Analytical and numerical detection of traveling wave and wave-train solutions in a prey-predator model with weak Allee effect ⋮ Mathematical analysis of the prey-predator system with immigrant prey using the soft computing technique ⋮ Positive Solutions of a Predator–Prey Model with Additive Allee Effect ⋮ A prey-predator model with migrations and delays ⋮ Spatiotemporal dynamics of a diffusive predator-prey model with generalist predator ⋮ Positive steady states of a density-dependent predator-prey model with diffusion ⋮ Analysis on a diffusive multiple Allee effects predator-prey model induced by fear factors ⋮ Bifurcation and Turing pattern formation in a diffusive ratio-dependent predator-prey model with predator harvesting ⋮ Dynamics of a generalized Ricker–Beverton–Holt competition model subject to Allee effects ⋮ Stability and spatiotemporal dynamics of a diffusive predator-prey system with generalist predator and nonlocal intraspecific competition ⋮ Effect of kernels on spatio-temporal patterns of a non-local prey-predator model ⋮ Stability of Hopf-bifurcating limit cycles in a diffusion-driven prey-predator system with Allee effect and time delay ⋮ Spatiotemporal (target) patterns in sub-diffusive predator-prey system with the Caputo operator
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of a intraguild predation model with generalist or specialist predator
- Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- A non-standard numerical scheme for a generalized Gause-type predator--prey model
- Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey
- Global stability of a Lotka--Volterra type predator--prey model with stage structure and time delay
- Limit cycles in a generalized Gause-type predator-prey model
- Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
- Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem
- Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
- Uniqueness of limit cycles in Gause-type models of predator-prey systems
- Large amplitude stationary solutions to a chemotaxis system
- A semilinear parabolic system arising in the theory of superconductivity
- Geometric theory of semilinear parabolic equations
- Global stability of Gause-type predator-prey systems
- Diffusion driven instability in an inhomogeneous domain
- An application of the invariance principle to reaction diffusion equations
- Pattern formation and the spatial scale of interaction between predators and their prey
- Uniqueness of the limit cycle for Gause-type predator-prey systems
- Persistence of a generalized Gause-type two prey - two predator pair linked by competition
- Global qualitative analysis of a ratio-dependent predator-prey system
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Dynamics of a generalized Gause-type predator-prey model with a seasonal functional response
- Diffusion, self-diffusion and cross-diffusion
- Stationary patterns of strongly coupled prey--predator models
- Strategy and stationary pattern in a three-species predator--prey model
- Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
- Lyapunov functions for a generalized Gause-type model
- Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
- On a predator-prey system of Gause type
- Allee dynamics and the spread of invading organisms
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- A qualitative study on general Gause-type predator-prey models with constant diffusion rates
- Stationary patterns caused by cross-diffusion for a three-species prey-predator model
- How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
- Positive periodic solutions in delayed Gause-type predator-prey systems
- The stability of predator\,-\,prey systems subject to the Allee effects
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- Existence of stationary solutions in kinetic models with Gaussian thermostats
- DYNAMICS OF A DIFFUSIVE PREDATOR–PREY MODEL WITH ADDITIVE ALLEE EFFECT
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- Propagation of Turing patterns in a plankton model
- ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
- On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
- Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
- Elliptic Partial Differential Equations of Second Order
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
- Qualitative analysis of a ratio-dependent predator–prey system with diffusion
- The chemical basis of morphogenesis
- Geometric criteria for the nonexistence of cycles in Gause-type predator-prey systems
- Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion
- Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
This page was built for publication: Spatiotemporal complexity in a predator-prey model with weak Allee effects
