植物-草食动物模型的动力学与化学介导的数值响应

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2021-01-01 DOI:10.5206/mase/11067
Lin Wang, James Watmough, Fang Yu
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引用次数: 0

摘要

提出了一个由两个常微分方程组成的系统,通过加入毒素修饰的数值响应来模拟植物和食草动物之间化学介导的相互作用。这种数值反应解释了由于植物的化学防御而导致的双栖动物生长和繁殖的减少。结果表明,该系统具有非常丰富的动力学性质,包括鞍节点分岔、hopf分岔、同斜分岔和协维2分岔。通过数值模拟说明了多型双稳性、极限环、同斜轨道和异斜轨道的存在。我们还讨论了由此产生的动力学的生态含义。
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Dynamics of a plant-herbivore model with a chemically-mediated numerical response
A system of two ordinary differential equations is proposed to model chemically-mediated interactions between plants and herbivores by incorporating a toxin-modifiednumerical response. This numerical response accounts for the reduction in the her-bivore's growth and reproduction due to chemical defenses from plants. It is shownthat the system exhibits very rich dynamics including saddle-node bifurcations, Hopfbifurcations, homoclinic bifurcations and co-dimension 2 bifurcations. Numerical sim-ulations are presented to illustrate the occurrence of multitype bistability, limit cycles,homoclinic orbits and heteroclinic orbits. We also discuss the ecological implicationsof the resulting dynamics.
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1.40
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21 weeks
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