Deterministic and Stochastic Fractional-Order Hastings-Powell Food Chain Model

作     者：Moustafa El-Shahed Asmaa M.Al-Dububan 

作者机构：Department of MathematicsUnaizah College of Sciences and ArtsQassim UniversityUnaizah51911Saudi Arabia Department of MathematicsBuraydah College of Sciences and ArtsQassim UniversityBuraydah51431Saudi Arabia 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2022年第70卷第2期

页      面：2277-2296页

核心收录：

学科分类：0831[工学-生物医学工程（可授工学、理学、医学学位）] 07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：The authors gratefully acknowledge Qassim University represented by the Deanship of Scientific Research on the financial support under the number(cosao-bs-2019-2-2-I-5469)during the academic year 1440 AH/2019 AD. 

主　　题：Food chain model global dynamics stability stochastic Hastings-Powell model harvesting 

摘      要：In this paper,a deterministic and stochastic fractional-order model of the tri-trophic food chain model incorporating harvesting is proposed and analysed.The interaction between prey,middle predator and top predator population is investigated.In order to clarify the characteristics of the proposed model,the analysis of existence,uniqueness,non-negativity and boundedness of the solutions of the proposed model are examined.Some sufficient conditions that ensure the local and global stability of equilibrium points are obtained.By using stability analysis of the fractional-order system,it is proved that if the basic reproduction number R_(0)1,the predator free equilibrium point E_(1) is globally asymptotically stable.The occurrence of local bifurcation near the equilibrium points is investigated with the help of Sotomayor’s theorem.Some numerical examples are given to illustrate the theoretical findings.The impact of harvesting on prey and themiddle predator is studied.We conclude that harvesting parameters can control the dynamics of the middle predator.A numerical approximation method is developed for the proposed stochastic fractional-order model.