A Stable Spatially Non-Constant Equilibrium of Lotka-Volterra Two-Patch System with May-Leonard Dynamics

Kazuo Kishimoto
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Kazuo Kishimoto: The University of Tsukuba, Institute of Socio-Economic Planning

A chapter in Biomathematics and Related Computational Problems, 1988, pp 331-335 from Springer

Abstract: Abstract It is shown that a three species competitive Lotka-Volterra system with May-Leonard dynamics can have a stable spatially non-constant equilibrium solution if the habitat is composed of two patches. It is interesting that, although only one species can survive for a long time in one spatial resource environment (i.e., in a single patch), yet three species can coexist in two spatial resource environment (in two patches).

Keywords: Equilibrium Solution; Global Stability; Single Patch; Competitive Exclusion Principle; Coexistent Solution (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_29

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DOI: 10.1007/978-94-009-2975-3_29

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