A mathematical model for the dynamics of a~population affected by pollutants

N. V. Pertsev ; G. E. Tsaregorodtseva

Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 1, pp. 109-120.

Résumé

We present a mathematical model for the dynamics of a population whose members are affected by ingested pollutants. We assume that a pollutant decomposition product is harmful for the individua and raises the incidence of their death. We describe the equations of the model and study the properties of their solutions, including the existence and stability of equilibrium states. We obtain conditions for the degeneration of the population and conditions guaranteeing its sustainment at nonzero stationary levels. We include the results of a numerical simulation.

Détail

Keywords: population dynamics, nonstationary medium, mathematical model
Mots-clés : influence of pollutants.

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