捕食
出租车
捕食者
种内竞争
追逃
竞赛(生物学)
数学
生态学
控制理论(社会学)
生物
数学优化
计算机科学
人工智能
控制(管理)
植物
作者
Pavan Kumar Mishra,Dariusz Wrzosek
标识
DOI:10.1016/j.jde.2023.02.063
摘要
We study a pursuit-evasion diffusive predator-prey model which combines prey-taxis in predators with evasive defense strategy of prey being capable to move in the opposite direction to the gradient of a chemical signal secreted by the predators (indirect predator taxis). The kinetic part of the model extends the Rosenzweig MacArthur predator-prey model by assuming an intraspecific competition among predators, as in the classical Bazykin model. The prey-taxis takes into account density-dependent velocity suppression of predators while chasing the prey. The assumptions enable us to prove the existence of global-in-time classical solutions for space dimension n≤3 which are not expected to exist for the Rosenzweig MacArthur model according to numerical simulations which depict a finite time blow-up of solutions for n=2.
科研通智能强力驱动
Strongly Powered by AbleSci AI