Kesik Zamanlı Allee Etkili bir Av-Avcı Modelinin Kararlılığı ve Flip Çatallanması
Öz
Bu makalede, Allee etkili kesik zamanlı bir av-avcı modeli ele alındı. Modelin dinamik davranışları incelendi. Modelin her iki türün bir arada olduğu denge noktasının varlığı ve kararlılık şartları elde edildi. Çatallanma teorisi kullanılarak, modelin flip çatallanmaya gittiği gösterildi. Elde edilen teorik sonuçların doğruluğunu göstermek için nümerik gösterimlere yer verildi.
39A33, 37G35, 39A30.
References
- [1]. He Z. and Lai X., Bifurcation and Chaotic Behavior of a Discrete-Time Predator-Prey System , Nonlinear Analysis:Real World Applications., 12 (2011) 403-417.
- [2]. Salman S. M., Yousef A. M. and Elsadany A. A., Stability, Bifurcation Analysis and Chaos Control of a Discrete Predator-Prey System with Square Root Functional Response, Chaos Solitons & Fractals., 93 (2016) 20-31.
- [3]. Khan A.Q., Neimark-Sacker Bifurcation of a Two-Dimensional Discrete-Time Predator-Prey Model, Springer Plus., 5 (2016) 126.
- [4]. Kartal Ş., Mathematical Modeling and Analysis of Tumor-Immune System Interastion by Using Lotka-Volterra Predator-Prey Like Model with Piecewise Constant Arguments., Periodicals of Engineering and Natural Science.s, 2-1 (2014).
- [5]. Kartal Ş., Dynamics of A Plant-Herbivore Model with Differential-Difference Equations, Cogents Mathematics., 3: 1136198 (2016).
- [6]. Kartal Ş., Flip and Neimark-Sacker Bifurcation in a Differential Equation with Piecewise Constant Arguments Model, Journal of Difference Equations and Applications., 23-4 (2017) 763-778.
- [7]. Kartal Ş. and Gurcan F., Global Behaviour of a Predator-Prey Like Model with Piecewise Constant Arguments, Journal of Biological Dynamics., 9-1 (2015) 159-171.
- [8]. Elabbasy E. M., Elsadany A. A. and Zhang Y., Bifurcation Analysis and Chaos in a Discrete Reduced Lorenz System, Applied Mathematics and Computation., 228 (2014) 184-194.
Details
Primary Language
Turkish
Subjects
-
Journal Section
Research Article
Authors
Figen Kangalgil
*
0000-0003-0116-8553
Türkiye
Publication Date
March 22, 2019
Submission Date
January 8, 2019
Acceptance Date
February 19, 2019
Published in Issue
Year 1970 Volume: 40 Number: 1
Cited By
Period-doubling Bifurcation and Stability in a Two Dimensional Discrete Prey-predator Model with Allee Effect and Immigration Parameter on Prey
Cumhuriyet Science Journal
https://doi.org/10.17776/csj.1026330Stability and Period-Doubling Bifurcation in a Modified Commensal Symbiosis Model with Allee Effect
Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
https://doi.org/10.18185/erzifbed.879963Dynamical analysis of a discrete conformable fractional order bacteria population model in a microcosm
Physica A: Statistical Mechanics and its Applications
https://doi.org/10.1016/j.physa.2019.123864Fractional order prey–predator model incorporating immigration on prey: Complexity analysis and its control
International Journal of Biomathematics
https://doi.org/10.1142/S1793524523500511Bifurcation and Chaos in a Fractional-Order Cournot Duopoly Game Model on Scale-Free Networks
International Journal of Bifurcation and Chaos
https://doi.org/10.1142/S0218127424501037