PERSISTENCE AND SPREAD OF A SPECIES WITH A SHIFTING HABITAT EDGE

We study a reaction-diffusion model that describes the growth and spread of a species along a shifting habitat gradient on which the species' growth increases. It is assumed that the linearized species growth rate is positive near positive infinity and is negative near negative infinity. We sho...

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Bibliographic Details
Published inSIAM journal on applied mathematics Vol. 74; no. 5; pp. 1397 - 1417
Main Authors LI, BINGTUAN, BEWICK, SHARON, SHANG, JIN, FAGAN, WILLIAM F.
Format Journal Article
LanguageEnglish
Published Society for Industrial and Applied Mathematics 01.01.2014
Subjects
Asymptotic properties
Climate change
Conservation biology
Diffusion coefficient
Dynamics
Ecological invasion
Ecological modeling
Edge effects
Extinct species
Habitats
Infinity
Invasive species
Mathematical models
Species extinction
Spreading
Spreads
Wildlife habitats
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Summary:We study a reaction-diffusion model that describes the growth and spread of a species along a shifting habitat gradient on which the species' growth increases. It is assumed that the linearized species growth rate is positive near positive infinity and is negative near negative infinity. We show that the persistence and spreading dynamics depend on the speed of the shifting habitat edge c and a number c* (∞) that is determined by the maximum linearized growth rate and the diffusion coefficient. We demonstrate that if c > c* (∞), then the species will become extinct in the habitat, and that if c < c* (∞), then the species will persist and spread along the shifting habitat gradient at an asymptotic spreading speed c* (∞).
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ISSN:0036-1399
1095-712X
DOI:10.1137/130938463