Stability analysis of a fractional-order two-species facultative mutualism model with harvesting

被引：14
作者：
Supajaidee, Nattakan [1 ]
Moonchai, Sompop [2 ,3 ]
机构：
[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand
[2] Chiang Mai Univ, Ctr Excellence Math & Appl Math, Dept Math, Fac Sci, Chiang Mai 50200, Thailand
[3] CHE, Ctr Excellence Math, 328 Si Ayutthaya Rd, Bangkok, Thailand
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
fractional differential equations; stability analysis; mutualism model; Caputo fractional derivative; Lyapunov function; GLOBAL ASYMPTOTIC STABILITY; LYAPUNOV FUNCTIONS; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; SYSTEM; EVOLUTION;
D O I：
10.1186/s13662-017-1430-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the positive coexistence of an equilibrium point. In addition, we obtain sufficient conditions to ensure the local asymptotic stability and global uniform asymptotic stability for the model. Finally, we provide illustrated numerical examples to verify the stability results obtained in this study.
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收藏
页数：13
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