期刊
CHAOS SOLITONS & FRACTALS
卷 135, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.109811
关键词
Predator-prey model; Rabies model; Bernstein wavelet; Euler approach; Operational matrix; Caputo derivative; Fractional differential equations
资金
- Science and Engineering Research Board (SERB), DST Government of India [EEQ/2017/000385]
- King Saud University Riyadh, Saudi Arabia [RSP-2019/4]
In this endeavour, Bernstein wavelet and Euler methods are used to solve a nonlinear fractional predatorprey biological model of two species. The theoretical results with their corresponding biological consequence due to Bernstein wavelet are considered and discussed. A test problem of predator-prey model with two different cases are examined to determined the capability of our proposed methods. We showed that the obtained solutions are the most powerful and, wherever it is possible the comparison, in a very good coincidence with the other numerical solution. Few numerical simulations are finding for predator and prey populations and new chaotic behaviours of predator-prey population model are also obtained by using the Euler method. Moreover, a comparison have been done between the capability of the Bernstein wavelet and the Euler approach. The numerical simulations and behaviours of Rabies model are depicted through graphically which is a special case of predator-prey model. (C) 2020 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据