TY - CHAP

T1 - Reaction-diffusion equations and ecological modeling

AU - Cosner, C.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - Reaction-diffusion equations are widely used as models for spatial effects in ecology. They support three important types of ecological phenomena: the existence of a minimal patch size necessary to sustain a population, the propagation of wavefronts corresponding to biological invasions, and the formation of spatial patterns in the distributions of populations in homogeneous environments. Reaction-diffusion equations can be analyzed by means of methods from the theory of partial differential equations and dynamical systems. we will discuss the derivation of reaction-diffusion models in ecology, sketch the basic aspects of their analysis, and describe some of their applications and mathematical properties.

AB - Reaction-diffusion equations are widely used as models for spatial effects in ecology. They support three important types of ecological phenomena: the existence of a minimal patch size necessary to sustain a population, the propagation of wavefronts corresponding to biological invasions, and the formation of spatial patterns in the distributions of populations in homogeneous environments. Reaction-diffusion equations can be analyzed by means of methods from the theory of partial differential equations and dynamical systems. we will discuss the derivation of reaction-diffusion models in ecology, sketch the basic aspects of their analysis, and describe some of their applications and mathematical properties.

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U2 - 10.1007/978-3-540-74331-6_3

DO - 10.1007/978-3-540-74331-6_3

M3 - Chapter

AN - SCOPUS:43149108625

SN - 9783540743286

T3 - Lecture Notes in Mathematics

SP - 77

EP - 115

BT - Tutorials in Mathematical Biosciences IV

PB - Springer Verlag

ER -