The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting Effects-Reference-Cited by-同舟云学术

The dynamics of an aquatic ecological model with aggregation, Fear and Harvesting Effects

Published:2022 Issue:10 Volume:7 Page:18532-18552
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Thirthar Ashraf Adnan¹,Majeed Salam J.²,Shah Kamal³⁴,Abdeljawad Thabet³⁵

Affiliation:

1. Department of Studies and Planning, University of Fallujah, Anbar, Iraq

2. Department of Mathematics, Collage of Computer Science and Mathematics, University of Thi-Qar, Iraq

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia

4. Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan

5. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract> <p>In this paper, we investigate an aquatic ecological model of microcystis aeruginosa-filter feeding fish and predatory fish model with aggregation effect of microcystis aeruginosa. Fear effect of predatory fish on filter feeding fish and harvesting effect of big fish is considered. Mathematical analysis includes two parts. The first is theoretical part, which includes proving the positive and constraining solutions of the model. Also finding equilibrium points and studying their local stability is included in this part. In addition, analyzing the local bifurcation of equilibrium points and indicating the type of bifurcation is discussed here. On the other hand, the second part contains the numerical simulation of all the theoretical results, where we compare the numerical values of the conditions obtained in the theoretical part.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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