Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory
复制标题
具有外显空间记忆的弥漫性消费者-资源模型的时空动力学
DOI：
10.1111/sapm.12443
复制
发表时间：
2021-09
影响因子：
2.7
通讯作者：
Yongli Song;Junping Shi;Hao Wang
中科院分区：
文献类型：
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作者：
Yongli Song;Junping Shi;Hao Wang
空间记忆在动物运动建模中是不可避免的，但在许多经典模型中却难以捉摸。包含空间的非局部积分项是整合空间记忆的传统方法，但实际的空间记忆应该依赖于过去的信息，因此自然会产生延迟。我们提出了一个新的消费者-资源模型，该模型具有随机和基于记忆的扩散，其中资源物种没有记忆或认知，而消费者物种具有空间记忆。利用基于记忆的扩散系数和消费者的平均记忆周期作为控制参数，我们发现Hopf分岔和稳定性切换发生了，并产生了空间非齐次周期解。众所周知，捕食者-猎物趋向性增强了捕食者-猎物系统同质共存状态的稳定性，本研究表明，基于记忆的捕食者-猎物趋向性会破坏恒定共存状态，并产生复杂的时空格局形成。在此基础上，通过Holling I型和Holling II型功能响应研究了基于记忆的扩散对消费者-资源动态的影响。
Spatial memory is inevitable in animal movement modeling but elusive in many classical models. A nonlocal integral term involving space is a traditional way to incorporate spatial memory, but the actual spatial memory should depend on past information so that delay naturally arises. We propose a new consumer‐resource model with random and memory‐based diffusions in which the resource species has no memory or cognition, whereas the consumer species has spatial memory. By using the memory‐based diffusion coefficient and the averaged memory period of the consumer as the control parameters, we find Hopf bifurcations and stability switches occur and spatially nonhomogeneous periodic solutions are generated. It is well known that prey‐taxis enhances the stability of a homogeneous coexistence state in a predator–prey system, and here we show that memory‐based prey‐taxis can destabilize a constant coexistence and generate complex spatiotemporal pattern formation. Using the obtained theoretical results, we study the impact of the memory‐based diffusion on the consumer‐resource dynamics with Holling type‐I and type‐II functional responses.