A mathematical model of population dynamics for Batesian mimicry system
A mathematical model of population dynamics for Batesian mimicry system
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DOI：
10.1080/17513758.2012.672659
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发表时间：
2012-03
影响因子：
2.8
通讯作者：
H. Seno;Takahiro Kohno
中科院分区：
文献类型：
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作者：
H. Seno;Takahiro Kohno
我们分析了一个数学模型的人口动态之间的模仿，一个相应的模型，和他们共同的捕食者种群。捕食者通过形成和丢失搜索图像来改变其搜索和攻击概率。它无法区分模仿者和模型。一旦捕食者吃掉了一个模型个体，它就会从饮食菜单中删除模型和模仿物种。如果一个捕食者吃了一个模仿者，它会增加模型和模仿者的搜索和攻击概率。捕食者可能会以每天的概率丢失排斥/吸引搜索图像。通过对模型的分析，我们可以导出模型种群和模拟种群持续生存的数学条件，进而得出模型种群持续生存的条件不依赖于模拟种群的大小，而模拟种群持续生存的条件依赖于捕食者对搜索图像的记忆。
We analyse a mathematical model of the population dynamics among a mimic, a corresponding model, and their common predator populations. Predator changes its search-and-attack probability by forming and losing its search image. It cannot distinguish the mimic from the model. Once a predator eats a model individual, it comes to omit both the model and the mimic species from its diet menu. If a predator eats a mimic individual, it comes to increase the search-and-attack probability for both model and mimic. The predator may lose the repulsive/attractive search image with a probability per day. By analysing our model, we can derive the mathematical condition for the persistence of model and mimic populations, and then get the result that the condition for the persistence of model population does not depend on the mimic population size, while the condition for the persistence of mimic population does depend the predator's memory of search image.