Co-existence thresholds in the dynamics of the plant-herbivore interaction with Allee effect and harvest
Co-existence thresholds in the dynamics of the plant-herbivore interaction with Allee effect and harvest作者机构：Department of Mathematics Addis Ababa University P.O. Box 1176 Addis Ababa Ethiopia Department of Mathematics and Statistical Sciences Botswana International University of Science andTechnology (BIUST) P/Bag 16 Palapye Botswana
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2018年第11卷第4期
页 面：229-255页
核心收录：
学科分类：090502[农学-动物营养与饲料科学] 07[理学] 0905[农学-畜牧学] 09[农学] 070104[理学-应用数学] 0701[理学-数学]
基 金：Simon's Foundation Project based at Botswana International University of Science and Technology Organization for Women in Science for the Developing World (OWSD) International Science Program Project based at Addis Ababa University
主 题：Predator-prey Allee effect harvest equilibrium points threshold sensitivityanalysis.
摘 要：In the interaction between plants and herbivores that live in the same ecosystem, understanding the conditions in which co-existence equilibrium occurs answers a major question in Ecology. In this interaction, plants serve as food for herbivores on the food chain. Then the livelihood of herbivores highly depends on the availability of food, in this case the availability of plants. Moreover, the abundance of the plant density alone does not guarantee the non-extinction of the herbivore population as they are assumed to reproduce sexually. With this motivation, in this paper a predator-prey mathematical model is reformulated such that the death rate of the herbivore population is dependent on the plant density and their emergence is also governed by the Allee effect. Using the mathematical theory of dynamical system, threshold conditions are obtained for the non-extinction of the herbivore population and a trapping region is obtained to ensure co-existence of the population. Moreover, it has been shown that the dynamics of the population is significantly sensitive to the feeding rate and the harvest rate of the herbivore population.
维普期刊数据库