On evolutionary stability of carrying capacity driven dispersal in competition with regularly diffusing populations
From MaRDI portal
Publication:471077
DOI10.1007/s00285-013-0729-8zbMath1309.92070OpenAlexW2007049122WikidataQ35022181 ScholiaQ35022181MaRDI QIDQ471077
Publication date: 13 November 2014
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-013-0729-8
competitionglobal attractivityevolutionary stabilitysystem of partial differential equationsideal free distributionsemi-trivial equilibriacarrying capacity driven diffusionGilpin-Ayala equationGompertz growth rate
Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Population dynamics (general) (92D25)
Related Items (21)
Lotka systems with directed dispersal dynamics: competition and influence of diffusion strategies ⋮ Ideal free dispersal in integrodifference models ⋮ On a competitive system with ideal free dispersal ⋮ On the fitness of predators with prey-induced dispersal in a habitat with spatial heterogeneity ⋮ Local exponential stability of four almost-periodic positive solutions for a classic Ayala-Gilpin competitive ecosystem provided with varying-lags and control terms ⋮ The principal Floquet bundle and the dynamics of fast diffusing communities ⋮ Dynamics of a diffusive competition model with memory effect and spatial heterogeneity ⋮ Global directed dynamics of a Lotka-Volterra competition-diffusion system ⋮ The Role of Advection in a Two-Species Competition Model: A Bifurcation Approach ⋮ Invading the ideal free distribution ⋮ Evolutionary stability of ideal free dispersal under spatial heterogeneity and time periodicity ⋮ Competitive spatially distributed population dynamics models: does diversity in diffusion strategies promote coexistence? ⋮ Evolution of dispersal in closed advective environments ⋮ On the interplay of harvesting and various diffusion strategies for spatially heterogeneous populations ⋮ Competitive-cooperative models with various diffusion strategies ⋮ Evolution of natal dispersal in spatially heterogenous environments ⋮ Directed vs regular diffusion strategy: evolutionary stability analysis of a competition model and an ideal free pair ⋮ On the Evolution of Slow Dispersal in MultiSpecies Communities ⋮ Evolution of dispersal in spatial population models with multiple timescales ⋮ Ideal Free Dispersal under General Spatial Heterogeneity and Time Periodicity ⋮ Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal harvesting of diffusive models in a nonhomogeneous environment elena braverman, leonid braverman
- Dynamics of a three species competition model
- Dynamics of a reaction-diffusion-advection model for two competing species
- Evolutionary stability of ideal free dispersal strategies in patchy environments
- Approximating the ideal free distribution via reaction-diffusion-advection equations
- Evolution of dispersal and the ideal free distribution
- The evolution of slow dispersal rates: a reaction diffusion model
- The dynamical theory of coevolution: A derivation from stochastic ecological processes
- On logistic models with a carrying capacity dependent diffusion: stability of equilibria and coexistence with a regularly diffusing population
- Persistence and extinction in spatial models with a carrying capacity driven diffusion and harvesting
- The spatial behavior of a competition-diffusion-advection system with strong competition
- Coexistence solutions of a periodic competition model with nonlinear diffusion
- Random dispersal versus fitness-dependent dispersal
- Environmentally induced dispersal under heterogeneous logistic growth
- On several conjectures from evolution of dispersal
- Spatial Ecology via Reaction‐Diffusion Equations
- Elements of Mathematical Ecology
- Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
- Global Models of Growth and Competition
- The ideal free distribution as an evolutionarily stable strategy
- Advection-mediated coexistence of competing species
This page was built for publication: On evolutionary stability of carrying capacity driven dispersal in competition with regularly diffusing populations
