The Effect of Conversion Rate on Prey-predator Model Incorporating Disease in the Prey Population

ASM Sc. J., 20(2), 2025

Published on November 11, 2025

https://doi.org/10.32802/asmscj.2025.1640

Author: Zati Iwani Abdul Manaf, Alia Nur Izzah Zulkifli, Nurnaim Yahya, Nur Nabila Mat Zizi, Farahanie Fauzi, Wan Khairiyah Hulaini Wan Ramli

Abstract

The spread of infectious diseases poses a threat to the interaction between prey and predator species. This research aims to understand how these diseases significantly influence both populations. By investigating the stability of the prey -predator system, the impact of varying the conversion rate is analysed through one-parameter bifurcation analysis. The conversion rate is specifically chosen as the bifurcation parameter, revealing the occurrence of transcritical bifurcation points. Visual representations, including bifurcation diagrams, phase planes, and time series plots, are generated using mathematical computing software such as XPPAUT, Maple, and MATLAB. The results demonstrate that variations in the conversion rate can induce shifts in stability, transitioning between stable and unstable states . This research emphasises the significance of considering the conversion rate when investigating the effects of disease on prey - predator populations. It can be useful for understanding the complex interactions between prey and predator species and for developing strategies to prevent the spread of infectious diseases among these populations.

Keywords: bifurcation analysis, prey disease, prey-predator model, stability analysis