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.

中文翻译：

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草原兔的受控随机偏微分方程

结合随机性、随机环境和个体行为的种群建模新方法通过两个相互作用种群的具体示例进行说明：兔子和草。随机偏微分方程 (SPDE) 系统的推导，以显示如何包括两个群体的个体机制。该模型还具有非局部项的不寻常特征。兔子种群的收获被引入作为控制变量。