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A resource-DEPENDENT COMPETITION MODEL:EFFECTS OF POPULATION PRESSURE AUGMENTED INDUSTRIALIZATION

International Journal of Modeling, Simulation, and Scientific Computing 2012年第2期3卷 109-130页

作者： MANJU AGARWAL SAPNA DEVI Department of Mathematics&Astronomy Lucknow University Lucknow-226007India DST Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi-221005India

In this paper,a nonlinear mathematical model is proposed and analyzed to study the effects of population pressure augmented industrialization on the survival of competing species dependent on *** is assumed that the growths of competing species are logistic and carrying capacities increase with increase in the density of resource ***,it is assumed that the resource biomass too is growing logistically in the envi-ronment and its carrying capacity decreases with the increase in densities of competing species and *** growth rate of population pressure is assumed to be proportional to the densities of competing *** of all equilibria and con-ditions which influence the permanence of the system are carried out using theory of differential *** simulations are performed to accomplish our analytical *** is shown that the equilibrium density of resource biomass decreases as(i)the growth rate coefficient of population pressure increases(ii)the growth rate coeffi-cient of industrialization due to population pressure increases and(iii)the growth rate coefficient of industrialization due to resource biomass *** is found that the competitive outcome alters with increase in the growth rate coefficient of population *** in the equilibrium densities of competing species is also noted with increase in the growth rate coefficient of industrialization due to resource biomass.

关键词： resource biomass competing species population pressure industrialization stability persistence.

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