Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
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DOI：
10.1142/s021820251950043x
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发表时间：
2019-10
影响因子：
3.5
通讯作者：
Youshan Tao;M. Winkler
中科院分区：
文献类型：
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作者：
Youshan Tao;M. Winkler
本文研究了两个种群的食物消费的趋化级联模型，即觅食者直接沿着食物浓度梯度向上移动，而利用者通过跟踪较高密度的觅食者采取寄生策略寻找食物。因此，两个种群的动态适应于食物的空间分布，食物的空间分布在时间和空间上被两个种群动态地修改。该模型扩展了经典的单物种趋化性消费系统，另外占第二个出租车机制耦合到第一个连续的方式。严格证明了对于所有适当正则的初始数据，该模型的空间一维版本的相关Neumann型初边值问题具有全局定义的有界经典解.此外，它被断言，所考虑的两个人口将在大的时间限制，空间上均匀分布的方法，无论是觅食或剥削者的总人口数是适当的小。
This work deals with a taxis cascade model for food consumption in two populations, namely foragers directly orienting their movement upward the gradients of food concentration and exploiters taking a parasitic strategy in search of food via tracking higher forager densities. As a consequence, the dynamics of both populations are adapted to the space distribution of food which is dynamically modified in time and space by the two populations. This model extends the classical one-species chemotaxis-consumption systems by additionally accounting for a second taxis mechanism coupled to the first in a consecutive manner. It is rigorously proved that for all suitably regular initial data, an associated Neumann-type initial-boundary value problem for the spatially one-dimensional version of this model possesses a globally defined bounded classical solution. Moreover, it is asserted that the considered two populations will approach spatially homogeneous distributions in the large time limit, provided that either the total population number of foragers or that of exploiters is appropriately small.