Qualitative analysis on a reaction-diffusion model arising from population dynamics

DOI10.1016/j.amc.2022.127203OpenAlexW4229007381MaRDI QIDQ2671844

Yunfeng Jia, Jing-jing Wang, Fang-fang Li

Publication date: 3 June 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127203

zbMATH Keywords

stabilityuniquenessfixed point indexreaction-diffusion modelcoexistence

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Effect of predator cannibalism and prey growth on the dynamic behavior for a predator-stage structured population model with diffusion
• A criterion for permanent coexistence of species, with an application to a two-prey one-predator system
• Positive solutions for a predator-prey interaction model with Holling-type functional response and diffusion
• A note on Hopf bifurcations in a delayed diffusive Lotka-Volterra predator-prey system
• On uniqueness and stability for solutions of singularly perturbed predator-prey type equations with diffusion
• A mathematical model of the effect of nitrogen and phosphorus on the growth of blue-green algae population
• On the fixed point index and multiple steady-state solutions of reaction- diffusion systems
• Limit cycles for the competitive three dimensional Lotka-Volterra system
• Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
• Global dynamics of a ratio-dependent predator-prey system
• Adaptation of prey and predators between patches
• Dynamics for a diffusive prey-predator model with different free boundaries
• Positive solutions for Lotka-Volterra competition system with diffusion.
• Spatial pattern in an ecosystem of phytoplankton-nutrient from remote sensing
• On qualitative analysis for a two competing fish species model with a combined non-selective harvesting effort in the presence of toxicity
• Asymptotic behavior of an SIS reaction-diffusion-advection model with saturation and spontaneous infection mechanism
• On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion
• Enhanced species coexistence in Lotka-Volterra competition models due to nonlocal interactions
• Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment
• Spatial versus non-spatial dynamics for diffusive Lotka-Volterra competing species models
• Computational analysis on Hopf bifurcation and stability for a consumer-resource model with nonlinear functional response
• Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
• On the Existence of Positive Solutions for a Class of Semilinear Elliptic Boundary Value Problems
• Bifurcation of steady-state solutions in predator-prey and competition systems
• The properties of a stochastic model for the predator-prey type of interaction between two species
• Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
• Nontrivial solutions of predator–prey systems with small diffusion
• On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
• Some uniqueness and exact multiplicity results for a predator-prey model
• Analysis and simulation on dynamics of a partial differential system with nonlinear functional responses
• A Holling Predator-Prey Model with Handling and Searching Predators
• Qualitative analysis of an autocatalytic chemical reaction model with decay
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• The Progeny of an Entire Population

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