A model for the growth of a population exhibiting stage structure: cannibalism and cooperation
Journal of Computational and Applied Mathematics - Special issue: Oscillations in nonlinear systems: applications and numerical aspects
Self-limitation, fishing and cannibalism
Applied Mathematics and Computation
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A general nonlinear age-structured predator-prey model is analyzed to obtain the dynamics of two interacting populations that includes self-limitation on the prey and juvenile predation. Our aim is to identify mechanisms of newborn survival that allow us to explain viable interactions between the two populations in circumstances when their absence would otherwise result in unstable behavior with unbounded oscillations. To achieve our goal we apply some standard methods in the analysis of dynamical systems such as the Painleve property and bifurcation analysis.