Abstract
We consider a problem of the dynamics of prey-predator populations suggested by the content of a letter of the biologist Umberto D'Ancona to Vito Volterra. The main feature of the problem is the special type of competition between predators of the same species as well as of different species. Two classes of cases are investigated: a first class in which the behaviour of the predator is ‘blind’ and the second one in which the behaviour is ‘intelligent’. A qualitative analysis of the dynamical systems under consideration is followed by a numerical analysis of the most significant cases.
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Falcone, M., Israel, G. Qualitative and numerical analysis of a class of prey-predator models. Acta Appl Math 4, 225–258 (1985). https://doi.org/10.1007/BF00052462
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DOI: https://doi.org/10.1007/BF00052462