Permanence, stability, and coexistence of a diffusive predator-prey model with modified Leslie-Gower and B-D functional response
type: Item
instance of: scholarly article
title: Permanence, stability, and coexistence of a diffusive predator-prey model with modified Leslie-Gower and B-D functional response
zbMATH Open document ID: 1448.92192
author: Yi Song
author: Xiaozhou Feng
author: Jianxin Liu
author: Guohui Wang
published in: Advances in Difference Equations
publication date: 2019-01-28T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7007232
zbMATH Keywords: predator-prey model
zbMATH Keywords: positive solutions
zbMATH Keywords: stability
zbMATH Keywords: coexistence
MaRDI profile type: Publication
full work available at URL: s13662-018-1735-3
OpenAlex ID: W2890612070
Wikidata QID: Q115518806
cites work: THE GEOMETRICAL ANALYSIS OF A PREDATOR-PREY MODEL WITH MULTI-STATE DEPENDENT IMPULSES
cites work: Periodic solution and control optimization of a prey-predator model with two types of harvesting
cites work: GLOBAL ATTRACTABILITY AND PERMANENCE FOR A NEW STAGE-STRUCTURED DELAY IMPULSIVE ECOSYSTEM
cites work: A stage-structured predator-prey SI model with disease in the prey and impulsive effects
cites work: Periodic solution of a prey-predator model with nonlinear state feedback control
cites work: Extinction and persistence in mean of a novel delay impulsive stochastic infected predator-prey system with jumps
cites work: Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
cites work: Adaptive dynamics for a non-autonomous Lotka-Volterra model with size-selective disturbance
cites work: Evolutionary dynamics in a Lotka-Volterra competition model with impulsive periodic disturbance
cites work: On a class of Volterra nonlinear equations of parabolic type
cites work: Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response
cites work: Adaptive dynamics analysis of a predator-prey model with selective disturbance
cites work: Global Hopf Bifurcation for a Predator–Prey System with Three Delays
cites work: Application of inequalities technique to dynamics analysis of a stochastic eco-epidemiology model
cites work: Dynamic analysis of a prey-predator model with state-dependent control strategy and square root response function
cites work: Geometrical analysis and control optimization of a predator-prey model with multi state-dependent impulse
cites work: Multi-state dependent impulsive control for Holling I predator-prey model
cites work: Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
cites work: Stability for a new discrete ratio-dependent predator-prey system
cites work: Qualitative analysis of a ratio-dependent predator–prey system with diffusion
cites work: Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
cites work: Dynamical behaviour of a generalist predator-prey model with free boundary
cites work: Note on a ratio-dependent predator--prey system with diffusion
cites work: Dynamics of a diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes
cites work: Stability analysis of diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes
cites work: Entire blow-up solutions for a quasilinear \(p\)-Laplacian Schrödinger equation with a non-square diffusion term
cites work: On the uniqueness of solutions for a class of fractional differential equations
cites work: Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
cites work: Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
cites work: Uniqueness of solution for boundary value problems for fractional differential equations
cites work: Caspase-1-mediated pyroptosis of the predominance for driving \(\mathrm{CD}4^+\) T cells death: a nonlocal spatial mathematical model
cites work: Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
cites work: Global existence and blow-up phenomena for nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions
cites work: On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
cites work: Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
cites work: Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
cites work: Stability and Hopf bifurcation in a diffusive predator-prey system with Beddington-DeAngelis functional response and time delay
cites work: Dynamical analysis of a class of prey-predator model with Beddington-DeAngelis functional response, stochastic perturbation, and impulsive toxicant input
cites work: Q4023219
cites work: Spatio-temporal dynamics near the steady state of a planktonic system
cites work: Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis
cites work: Q4746129
cites work: Diffusion, self-diffusion and cross-diffusion
cites work: Elliptic partial differential equations of second order
cites work: Q4774620
DOI: 10.1186/S13662-018-1735-3
description: scientific article; zbMATH DE number 7007232