Evolutionary stability of ideal free dispersal under spatial heterogeneity and time periodicity

DOI10.1016/j.mbs.2018.09.002zbMath1409.92261OpenAlexW2892070874WikidataQ91334851 ScholiaQ91334851MaRDI QIDQ669066

Chris Cosner, Robert Stephen Cantrell

Publication date: 20 March 2019

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://commons.erau.edu/cgi/viewcontent.cgi?article=1109&context=searcde

zbMATH Keywords

evolutionarily stable strategyideal free distributionreaction-diffusion-advectionevolution of dispersalnonlocal informationperiodic-parabolic problems

Mathematics Subject Classification ID

Problems related to evolution (92D15) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40)

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Ideal free dispersal in integrodifference models ⋮ A New Monotonicity for Principal Eigenvalues with Applications to Time-Periodic Patch Models ⋮ Asymptotic behavior of solutions of an ODE-PDE hybrid competition system ⋮ On the Conjecture of the Role of Advection in a Two-Species Competition-Diffusion Model ⋮ Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system ⋮ Copuling population dynamics and diel migration patterns ⋮ Dynamics of a parabolic-ODE competition system in heterogeneous environments ⋮ Asymptotics of the Principal Eigenvalue for a Linear Time-Periodic Parabolic Operator I: Large Advection ⋮ Ideal Free Dispersal under General Spatial Heterogeneity and Time Periodicity

Cites Work

• Reaction-diffusion-advection models for the effects and evolution of dispersal
• On evolutionary stability of carrying capacity driven dispersal in competition with regularly diffusing populations
• Evolutionary stability of ideal free dispersal strategies in patchy environments
• Evolution of dispersal and the ideal free distribution
• On logistic models with a carrying capacity dependent diffusion: stability of equilibria and coexistence with a regularly diffusing population
• Resident-invader dynamics in infinite dimensional systems
• On several conjectures from evolution of dispersal
• Evolutionary stability of ideal free nonlocal dispersal
• On an abstract competition model and applications
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