Dynamic analysis of the fractional-order logistic equation with two different delays

被引：1
|
作者：
El-Saka, H. A. A. [1 ]
El-Sherbeny, D. El. A. [1 ]
El-Sayed, A. M. A. [2 ]
机构：
[1] Damietta Univ, Fac Sci, Math Dept, New Damietta 34517, Egypt
[2] Alexandria Univ, Fac Sci, Alexandria 21526, Egypt
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 06期
关键词：
Fractional-order logistic equation; Time delays; Stability analysis; Hopf bifurcation; Numerical solutions; 92-10; NUMERICAL-SOLUTION; STABILITY;
D O I：
10.1007/s40314-024-02877-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze the stability and Hopf bifurcation of the fractional-order logistic equation with two different delays tau(1), tau(2) > 0: D-alpha y ( t ) = py(t - tau(1)) (1 - y ( t - tau(2))), t > 0, p > 0. We describe stability regions by using critical curves. We explore how the fractional order alpha, p, and time delays influence the stability and Hopf bifurcation of the model. Then, by choosing p, fractional order alpha, and time delays as bifurcation parameters, the existence of Hopf bifurcation is studied. An Adams-type predictor-corrector method is extended to solve fractional-order differential equations involving two different delays. Finally, numerical simulations are given to illustrate the effectiveness and feasibility of theoretical results.
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页数：17
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