Controlled Stochastic Partial Differential Equations for Rabbits on a Grassland

被引：0

作者：

Suzanne LENHART ^{[1
]}

Xiao TANG ^{[2
]}

Jie XIONG ^{[2
]}

Jiongmin YONG ^{[3
]}

机构：

[1] Department of Mathematics, University of Tennessee

[2] Department of Mathematics, Southern University of Science and Technology

[3] Department of Mathematics, University of Central Florida

来源：

Acta Mathematicae Applicatae Sinica | 2020年 / 36卷 / 02期

关键词：

Stochastic partial differential equation; tightness; optimal control; population model;

D O I：

暂无

中图分类号：

O211.63 [随机微分方程];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A new approach to modeling populations incorporating stochasticity, a random environment, and individual behavior is illustrated with a specific example of two interacting populations: rabbits and grass.The derivation of the system of stochastic partial differential equations(SPDEs) to show how the individual mechanisms of both populations are included. This model also has an unusual feature of a nonlocal term. The harvesting of the rabbit population is introduced as a control variable.

引用

页码：262 / 282

页数：21

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