# American Institute of Mathematical Sciences

doi: 10.3934/dcdsb.2021199
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## Positive solutions of a diffusive two competitive species model with saturation

 Department of Mathematics, University of Mandalay, Mandalay 05032, Myanmar

* Corresponding author: Aung Zaw Myint

Received  April 2021 Early access August 2021

In this paper, the positive solutions of a diffusive two competitive species model with Bazykin functional response are investigated. We give the a priori estimates and compute the fixed point indices of trivial and semi-trivial solutions. And obtain the existence of solution and demonstrate the bifurcation of a coexistence state emanating from semi-trivial solutions. Finally, multiplicity and stability results are presented.

Citation: Aung Zaw Myint. Positive solutions of a diffusive two competitive species model with saturation. Discrete & Continuous Dynamical Systems - B, doi: 10.3934/dcdsb.2021199
##### References:

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##### References:
The existence of coexistence states and bifurcation lines
For $\alpha\gg 1$, the existence and multiplicity of coexistence states
For $\beta\gg 1$, the existence and multiplicity of coexistence states
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