DYNAMIC ANALYSIS AND OPTIMAL CONTROL OF A FRACTIONAL ORDER SINGULAR LESLIE-GOWER PREY-PREDATOR MODEL

马琳洁; 刘斌

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DYNAMIC ANALYSIS AND OPTIMAL CONTROL OF A FRACTIONAL ORDER SINGULAR LESLIE-GOWER PREY-PREDATOR MODEL

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In this article,we investigate a fractional-order singular Leslie-Gower prey-predator bioeconomic model,which describes the interaction bet ween populations of prey and predator,and takes into account the economic interest.We firstly obtain the solvability condition and the st ability of the model sys tem,and discuss the singularity induced bifurcation phenomenon.Next,we introduce a st ate feedback controller to elimina te the singularity induced bifurcation phenomenon,and discuss the optimal control problems.Finally,numerical solutions and their simulations are considered in order to illustrate the theoretical results and reveal the more complex dynamical behavior.

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《数学物理学报：B辑英文版》 |2020年第5期|1525-1552|共28页
作者
马琳洁; 刘斌;
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作者单位

School of Mathematics and Statistics;

Huazhong University of Science and Technology;

Wuhan 430074;

China;

Hubei Key Laboratory of Engineering Modeling and Scientific Computing;

Huazhong University of Science and Technology;

Wuhan 430074;

China;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
fractional order system; differential-algebraic system; prey-predator bioeconomic model; singularity induced bifurcation; optimal control;

DYNAMIC ANALYSIS AND OPTIMAL CONTROL OF A FRACTIONAL ORDER SINGULAR LESLIE-GOWER PREY-PREDATOR MODEL

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