A hyperbolic predator–prey model is proposed within the context of extended thermodynamics. The nature of the steady state solutions for the uniform and non-uniform perturbations are analyzed. The existence of smooth traveling wave-like solutions, related to the invasion of the predator population into a prey-only state is discussed. Validation of the model in point is also accomplished by searching for numerical solutions of the system, which also points out limit cycles in the populations
Wave features of a hyperbolic prey–predator model
BARBERA, Elvira;CURRO', Carmela;VALENTI, Giovanna
2010-01-01
Abstract
A hyperbolic predator–prey model is proposed within the context of extended thermodynamics. The nature of the steady state solutions for the uniform and non-uniform perturbations are analyzed. The existence of smooth traveling wave-like solutions, related to the invasion of the predator population into a prey-only state is discussed. Validation of the model in point is also accomplished by searching for numerical solutions of the system, which also points out limit cycles in the populationsFile in questo prodotto:
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