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Existence and Instability of Neumann Layer Solutions for a 3-component Lotka–Volterra Model with Diffusion

✍ Scribed by Yukio Kan-on

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
129 KB
Volume
243
Category
Article
ISSN
0022-247X

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✦ Synopsis

We consider a 3-component Lotka-Volterra model with diffusion which describes the dynamics of the population of two competing prey and one predator, and we discuss the existence of positive stationary solutions and their stability property. To do this, the singular perturbation method and the associated singular limit spectral analysis are employed.

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## Abstract In this short note, we study a strongly coupled system of partial differential equations which models the dynamics of a two‐predator‐one‐prey ecosystem in which the prey exercises defense switching and the predators collaboratively take advantage of the prey's strategy. We prove the exi