Affiliation:
1. UFR Mathématiques et Informatique University Université Félix Houphouët-Boigny 22 BP 582 Abidjan 22, COTE D'IVOIRE
Abstract
Biological models of basic prey-predator interaction have been studied. This consisted, at first, in analyzing the basic models of population dynamics such as the Malthus model, the Verhulst model, the Gompertz model and the model with Allee effect ; then, in a second step, to analyze the Lotka-Volterra model and its models improved by taking into account certain important hypotheses such as competition and/or cooperation between species, existence of refuge for prey and migration of species. For each population evolution model presented, a numerical illustration was made for its verification.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
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