Work

Analyzing predator-prey dynamics in the context of global warming using fractional integro differential equations

Year: 2025

Type: article

Abstract: In the field of ecology, the primary focus is on how climate change induced environmental shifts, including increasing temperatures, influence the relationships between species. This study presents a model that we have created to simulate the interactions between two species; one being a predator and the other its prey. In the context of the current situation, we propose using a fractional integro differential model, in line with Caputo's method. The existence of solutions is confirmed, and their stability is analyzed and the existence of unique solution is demonstrated with an example. Finally, the numerical results are plotted to show how memory effects affect ecological stability over time using iterative population estimates.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.039.02.05

Authors: K. S. Nisar, G. Hamsavarthini, C. Ravichandran, Sh. U. Kumaran

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

OpenAlex ID: W4408970879

FWCI: 4.958

Cites:

Cited by: 6

Related to: 10