Bifurcation Analysis of an eco-epidemiological model involving prey refuge, fear impact and hunting cooperation

المؤلفون

  • Alaa khadim Mohammed1 Department of Mathematics,College of computer science and mathematics, University of Thi-Qar, Thi-Qar, Iraq
  • Salam Jasim Majeed Department of Mathematics,College of computer science and mathematics, University of Thi-Qar, Thi-Qar, Iraq

DOI:

https://doi.org/10.32792/jeps.v14i2.438

الكلمات المفتاحية:

prey-predator, eco-epidemiological, fear effect, prey refuge, Bifurcation.

الملخص

This paper centers on an eco-epidemiological predator-prey model that accounts for hunting cooperation among predators and prey shelter and fear in afflicted prey. The objective is to investigate the effects of parameter factors on the model's bifurcation behavior. Theoretical part of this study demonstrate that a transcritical bifurcation can result from infection rate and refuge rate. Furthermore, fear rate can cause a Hopf-bifurcation to arise close to the positive equilibrium point. The presence of local bifurcations close to the non-trivial equilibrium points is verified by numerical analysis, which also guarantees the veracity of the theoretical results.

التنزيلات

منشور

2024-06-01