Events2nd International Online Conference on Agriculture
Event submissions
Published
with-doi10.3390/IOCAG2023-17333 (registering DOI)
This submission belongs to the session S1. Ecosystem, Environment and Climate Change in Agriculture; of the event 2nd International Online Conference on Agriculture
Published date
18 Apr, 2024
Academic Editor
author-avatarGaetano Pandino
Citation
SIVA PRADEEP M, NANDHA GOPAL T, YASOTHA A, DYNAMICS ANALYSIS OF A THREE SPECIES FOOD WEB ECO-EPIDEMIOLOGICAL MODEL IN CROWLEY-MARTIN FUNCTIONAL RESPONSE WITH IMPACT OF FEAR, in Proceedings of 2nd International Online Conference on Agriculture, 1 November–15 November 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCAG2023-17333
Share
Email
Facebook
Twitter
LinkedIn

DYNAMICS ANALYSIS OF A THREE SPECIES FOOD WEB ECO-EPIDEMIOLOGICAL MODEL IN CROWLEY-MARTIN FUNCTIONAL RESPONSE WITH IMPACT OF FEAR

SIVA PRADEEP M 1
NANDHA GOPAL T 1
image
YASOTHA A 2
1. SRI RAMAKRISHNAN MISSION VIDYALAYA COLLEGE OF ARTS AND SCIENCE, COIMBATORE, INDIA-641 020, India
2. UNITED INSTITUTE OF TECHNOLOGY, COIMBATORE, INDIA-641 020, India
Abstract

This article consists of a three-species food web model that has been developed by considering the
interaction between susceptible prey, infected prey, and predator species. It is assumed that
susceptible prey species grow logistically in the absence of predators. It is assumed that predators
consume susceptible and infected prey and infected prey consumes susceptible prey. Furthermore, the predator consumes its prey in the form of Holling-type and Crowley-Martin-type interactions. Also, infected prey consumes susceptible prey in the form of Holling-type interaction. The positive invariance, positivity, and boundedness of the system are discussed. The conditions of all biologically feasible equilibrium points have
been examined. The local stability of the systems around these equilibrium points is investigated
and global stability is analyzed by suitable Lyapunov functions around these equilibrium points.
Furthermore, the occurrence of Hopf-bifurcation concerning predation rete of the system has been
investigated. Finally, we demonstrate some numerical simulation results to illustrate our main
analytical findings.

Keywords
Fear
Stability
Crowley-Martin
Hopf-bifurcation
Manuscript
template.pdf
High throughput sequencing and annotation of Hellula undalis (Fabr.) (Lepidoptera: Pyralidae)
The effectiveness of the combined use of polymer hydrogel with protein hydrolysates of various composition and molecular weight in relation to wheat productivity and disease susceptibility