Open AccessPositive solutions of a diffusive two competitive species model with saturation
Author(s) -
Aung Zaw Myint
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021199
Subject(s) - multiplicity (mathematics) , saturation (graph theory) , a priori and a posteriori , bifurcation , mathematics , stability (learning theory) , bifurcation theory , fixed point , statistical physics , mathematical analysis , thermodynamics , physics , combinatorics , computer science , nonlinear system , quantum mechanics , philosophy , epistemology , machine learning
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.