Parameter Estimation of the Lotka–Volterra Model with Fractional Order Based on the Modulation Function and Its Application | Zendy

Ying Hao | Zendy; Guo Ming-shun | Zendy

Open Access

Parameter Estimation of the Lotka–Volterra Model with Fractional Order Based on the Modulation Function and Its Application

Author(s) -

Ying Hao,

Guo Ming-shun

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6645059

Subject(s) - volterra equations , mathematics , chebyshev polynomials , chebyshev filter , polynomial , function (biology) , order (exchange) , fractional calculus , volterra integral equation , volterra series , mathematical optimization , control theory (sociology) , computer science , nonlinear system , mathematical analysis , integral equation , physics , finance , quantum mechanics , evolutionary biology , economics , biology , control (management) , artificial intelligence

The Lotka–Volterra model is widely applied in various fields, and parameter estimation is important in its application. In this study, the Lotka–Volterra model with universal applicability is established by introducing the fractional order. Modulation function is multiplied by both sides of the Lotka–Volterra model, and the model is converted into linear equations with parameters to be estimated by the fractional integration method. The parameters are obtained by solving the equations. The state of the system is estimated by shifted Chebyshev polynomial. Last, the implementation program of the model is compiled. The concrete implementation method of the improved model is proposed by an example in this study.

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