A NEW NUMERICAL SCHEME APPLIED ON RE-VISITED NONLINEAR MODEL OF PREDATOR-PREY BASED ON DERIVATIVE WITH NON-LOCAL AND NON-SINGULAR KERNEL

BADR SAAD T. ALKAHTANI; ILKNUR KOCA

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A NEW NUMERICAL SCHEME APPLIED ON RE-VISITED NONLINEAR MODEL OF PREDATOR-PREY BASED ON DERIVATIVE WITH NON-LOCAL AND NON-SINGULAR KERNEL

机译：基于非局部和非奇异内核的衍生物重新访问捕食者猎物非线性模型的一种新的数值方案

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摘要

A new concept of dynamical system of predator-prey model is pre- sented in this paper. The model takes into account the memory of interaction between the prey and predator due to the inclusion of fractional differentia- tion. In addition, the model takes into account the inherent disposition of a prey or predator toward hunting or defending in time. Analysis of existence and uniqueness of the solutions is presented. A numerical method is used to generate some simulations as the fractional orders change from one to zero. A new traveling waves patterns are obtained.

机译：本文预先发布了捕食者 - 猎物模型动力系统的新概念。由于包含分数分数，模型考虑了猎物和捕食者之间的相互作用的记忆。此外，该模型考虑了猎物或捕食者对狩猎或捍卫的固有配置。提出了解决方案的存在和唯一性分析。使用数值方法来生成一些模拟，因为分数令从一个到零的变化。获得了一种新的行驶波模式。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2020年第3期|429-442|共14页
作者
BADR SAAD T. ALKAHTANI; ILKNUR KOCA;
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作者单位

Department of mathematics Riyadh 11989 colle of science King Saud University P.O. Box 1142 Saudi Arabia;

Mehmet Akif Ersoy University Department of Mathematics Faculty of Sciences 15100 Burdur Turkey;

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原文格式 PDF
正文语种 eng
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关键词
New predator-prey model; fractional differentiation; existence and uniqueness; numerical simulation;

机译：新的捕食者猎物模型;分数分化;存在和唯一性;数值模拟;

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1. A new nonlinear triadic model of predator–prey based on derivative with non-local and non-singular kernel: [J] . Badr Saad T Alkahtani, Abdon Atangana, Ilknur Koca Advances in Mechanical Engineering . 2016,第11期

机译：基于具有非局部和非奇异核的导数的捕食者-被捕食者的非线性三元模型：
2. New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models [J] . Toufik Mekkaoui, Atangana Abdon European Physical Journal Plus . 2017,第10期

机译：非局部和非奇异内核分数衍生物的新数值近似：应用于混沌模型的应用
3. A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel [J] . Coronel-Escamilla A., Gomez-Aguilar J. F., Torres L., Physica, A. Statistical mechanics and its applications . 2018,第期

机译：通过使用非局部和非单数内核的分数衍生物使用分数衍生物的可变阶反应扩散模型的数值解决方案
4. The Computer Numerical Simulations and Qualitative Analysis of a Predator-Prey Model with Nonlinear Increasing Rate [C] . Guo Xiukai Fourth international conference on information and computing . 2011

机译：具有非线性增长率的捕食者-食饵模型的计算机数值模拟与定性分析。
5. Numerical schemes for nonlinear partial differential equations in semiconductor modeling and calculus of variations. [D] . Fatemi, Emad Aldin-Mohammad. 1990

机译：半导体建模和变异计算中非线性偏微分方程的数值方案。
6. Effect of spatial configuration of an extended nonlinear Kierstead–Slobodkin reaction-transport model with adaptive numerical scheme [O] . Kolade M. Owolabi, Kailash C. Patidar -1

机译：自适应数值格式的扩展非线性Kierstead-Slobodkin反应-运输模型的空间构型影响
7. A new nonlinear triadic model of predator–prey based on derivative with non-local and non-singular kernel [O] . Badr Saad T Alkahtani, Abdon Atangana, Ilknur Koca 2016

机译：基于非局部和非奇异内核的衍生物的捕食者猎物新的非线性三合会模型

A NEW NUMERICAL SCHEME APPLIED ON RE-VISITED NONLINEAR MODEL OF PREDATOR-PREY BASED ON DERIVATIVE WITH NON-LOCAL AND NON-SINGULAR KERNEL

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