Pattern formation and parameter inversion for a discrete Lotka–Volterra cooperative system

Li Xu, Jiayi Liu and Guang Zhang

Chaos, Solitons & Fractals, 2018, vol. 110, issue C, 226-231

Abstract: In this paper, stability analysis is applied to a discrete Lotka–Volterra cooperative system with the periodic boundary conditions, then Turing pattern formation conditions can be derived, theory analysis and numerical simulation show that turing patterns can be realized. In addition, we also pay attention on what reason or what system environment to result into the current state patterns, which can be reduced to estimate or identify the system parameter. A regularization method is applied to parameter inversion, and numerical simulation can verify the effectiveness of the algorithm.

Keywords: Discrete Lotka–Volterra cooperative system; Turing instability; Parameter inversion; Regularization method (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:110:y:2018:i:c:p:226-231

DOI: 10.1016/j.chaos.2018.03.035

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