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Research Article Open access CC BY 4.0

Weak Competition and Ideally Distributed Populations in a Cooperative Diffusive Model with Crowding Effects

Md. Kamrujjaman

Physical Science International Journal · pp. 1–16 · Published 11 Jul 2018

10.9734/PSIJ/2018/42472

Abstract

We study a dynamic model describing the cooperation-competition between two species, where the first species diffuses along a smooth distribution function while the second is dispersive randomly. The analysis is designed for weak competition with corresponding coefficients and by considering different resource functions. It is shown that the directed diffusion population has evolutionary advantages to design its own niche. The higher carrying capacity is an important issue of persistence. If there is a combination of two strategies adopted by the two species then the ideal free distribution is attained and the coexistence steady state is a global attractor.

Diffusion strategies global attractor competition cooperation coexistence.

Cited by 2

Dynamics of heterogeneous population due to spatially distributed parameters and an ideal free pair

Ishrat Zahan, Md. Kamrujjaman, Md. Abdul Alim · Frontiers in Applied Mathematics and Statistics · 2022

The influence of density in population dynamics with strong and weak Allee effect

Kamrun Nahar Keya, Md. Kamrujjaman, Md. Shafiqul Islam · Journal of the Egyptian Mathematical Society · 2021

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