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Interplay of resource distributions and diffusion strategies for spatially heterogeneous populations | ||
Journal of Mathematical Modeling | ||
مقاله 2، دوره 7، شماره 2، شهریور 2019، صفحه 175-198 اصل مقاله (615.94 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2019.11734.1208 | ||
نویسنده | ||
Md. Kamrujjaman* | ||
Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh | ||
چکیده | ||
In this paper, we consider a reaction-diffusion competition model describing the interactions between two species in a heterogeneous environment. Specifically, we study the impact of diffusion strategies on the outcome of competition between two populations while the species are distributed according to their respective carrying capacities. The two species differ in the diffusion strategies they employ as well as in their asymmetric growth intensities. In case of weak competition, both populations manage to coexist and there is an ideal free pair. If the resources are shared partially then one species emerge as the sole winner and the other goes extinct. The results have been verified and illustrated numerically. | ||
کلیدواژهها | ||
Resource distributions؛ adopted dynamics؛ competition؛ global analysis؛ asymptotic stability | ||
آمار تعداد مشاهده مقاله: 672 تعداد دریافت فایل اصل مقاله: 748 |