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On Liénard's equation and the uniqueness of limit cycles in predator-prey systems

✍ Scribed by Helmar Nunes Moreira

Publisher
Springer
Year
1990
Tongue
English
Weight
536 KB
Volume
28
Category
Article
ISSN
0303-6812

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✦ Synopsis

We study a system of ODE's modelling the interaction of one predator and one prey

This system defines a two-species community which incorporates competition among prey in the absence of any predators as well as a density-dependent predator specific death rate. This system is investigated under ecologically natural regularity conditions and assumptions on g, p and h to ensure the existence and uniqueness of limit cycles. The proof uses the standard H o p f -A n d r o n o v bifurcation theory and the technique of Li6nard's equation.

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