A food chain model with prey-taxis and chemotaxis. (1st January 2013)

• Record Type: Journal Article
• Authors: Ma, Manjun; Han, Yazhou; Tao, Jicheng; Wu, Delin
• Is Part Of: International journal of modelling, identification and control. Volume 19:Number 3(2013)
• Page Start: 235
• Page End: 247
• Publication Date: 2013-01-01
• Subjects: food chain model -- self-produced nutriment -- chemotaxis -- steady state -- index theory; Engineering -- Methodology -- Periodicals; Science -- Methodology -- Periodicals; 001.42
• Languages: English
• ISSNs: 1746-6172

Abstract

From the dynamic point of view we construct a food chain model with chemotaxis and investigate theoretically and numerically its steady states. Our results show how the combined action of the death rates, chemotaxis, diffusivity and predator-prey interactions influence the survival ability of multiple consumer levels in a closed ecological system with self-produced nutriment. Furthermore, the food chain length of our model can be determined by the coexistence conditions of all consumer levels. The analytical results are corroborated by numerical simulations.