
doi: 10.1007/bf00276125
In this paper existence and stability of subharmonic solutions of the Volterra-Verhulst equations with a periodic coefficient are analyzed by the method of Urabe. The study supports the view that the observed 4- and 10-yr cycles of prey-predator systems are due to seasonal fluctuations.
subharmonic solutions, Population dynamics (general), Numerical analysis in abstract spaces, prey-predator systems, periodically forced systems, Periodic solutions to ordinary differential equations, Volterra-Verhulst equations
subharmonic solutions, Population dynamics (general), Numerical analysis in abstract spaces, prey-predator systems, periodically forced systems, Periodic solutions to ordinary differential equations, Volterra-Verhulst equations
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