An exact analytical solution of a three-component model for competitive coexistence.
A three-component competition system is modeled as a reaction-diffusion process. An exact analytical solution has been found that indicates that in certain situations the classical results on extinction and coexistence of Lotka-Volterra-type equations are no longer valid. Cases with one or both predators diffuse are analyzed, and the stability question is discussed.
Schat
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CL
CNEA, Dpto. Física-Tandar, Buenos Aires, Argentina.
Kuperman
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MN
Wio
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HS
D000818:Animals; D017753:Ecosystem; D008433:Mathematics; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011235:Predatory Behavior; D013045:Species Specificity