Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations
Abstract
:1. Introduction
2. Main Results
3. Examples of Competitive Evolutionary Models
- (i)
- (ii)
- (iii)
- (iv)
- (v)
- Assume that and . If every solution of (39) converges to the interior positive equilibrium, which happens ifor
- (i)
- if , then there exist two equilibrium points: and ,
- (ii)
- if , then there exist three equilibrium points: , and ,
- (iii)
- if , then there exist four equilibrium points: , , , and , where .
- (i)
- if , then ,
- (ii)
- if , then and ,
- (iii)
- if , then and .
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Kulenović, M.R.S.; Nurkanović, M.; Nurkanović, Z.; Trolle, S. Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations. Mathematics 2023, 11, 3909. https://doi.org/10.3390/math11183909
Kulenović MRS, Nurkanović M, Nurkanović Z, Trolle S. Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations. Mathematics. 2023; 11(18):3909. https://doi.org/10.3390/math11183909
Chicago/Turabian StyleKulenović, Mustafa R. S., Mehmed Nurkanović, Zehra Nurkanović, and Susan Trolle. 2023. "Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations" Mathematics 11, no. 18: 3909. https://doi.org/10.3390/math11183909
APA StyleKulenović, M. R. S., Nurkanović, M., Nurkanović, Z., & Trolle, S. (2023). Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations. Mathematics, 11(18), 3909. https://doi.org/10.3390/math11183909