论文标题
延迟对掠食者模型的影响
Impact of Delay on Predator-Prey Models
论文作者
论文摘要
基于时间延迟微分方程的数学建模是研究生物系统延迟的作用并评估其对动态渐近行为的影响的重要工具。确实在许多生物，物理和工程系统中发现了延迟，这是由于生理，化学或生物过程从一个地方传播到另一个地方的有限速度的结果。由于实际生物系统始终受到未完全理解或无法明确建模的扰动，因此随机延迟差分系统（SDDES）对这些模型提供了更现实的近似。在这项工作中，我们研究了三个时间延迟模型的捕食者 - 捕集系统：一种确定性和两种随机模型。我们的数值结果显示了其各自的渐近行为的相关差异。
Mathematical modeling based on time-delay differential equations is an important tool to study the role of delay in biological systems and to evaluate its impact on the asymptotic behavior of their dynamics. Delays are indeed found in many biological, physical, and engineering systems and are a consequence of the limited speed at which physiological, chemical, or biological processes are transmitted from one place to another. Since real biological systems are always subject to perturbations that are not fully understood or cannot be explicitly modeled, stochastic delay differential systems (SDDEs) provide a more realistic approximation to these models. In this work, we study the predator-prey system considering three time delay models: one deterministic and two types of stochastic models. Our numerical results show relevant differences in their respective asymptotic behaviors.
