In this study, we propose a two prey-predator model incorporated strong and weak Allee effect in prey population with Bedington-Deangelis type functional response. A detailed mathematical analysis of the model has been done. In particular, boundedness, permanence, local stability and Hopf-bifurcation for the system have been conducted. We have included both strong and weak Allee effect in our model and corresponding results from previous well known predator–prey models are compared with the current findings. It is shown that species in the model with strong Allee effect become extinct beyond a threshold value of Allee parameter at low density of prey population, whereas species never become extinct in weak Allee effect if they are initially present.Numerical simulation done on the model done on the model show that it is in agreement with the theoratical analysis. Finally, an extended discussion of the ecological implications of the analytical and numerical results concludes the paper.

The report submitted can be found in Project Report folder.

The code for obtaining different graphs can be found in the Matlab folder. The respective images can be found out in the EPS images folder.

The matlab version used was Matlab R2015B.

The project was done was a part of Special Project in the academic curriculum of BITS under the supervision of Dr Balram Dubey.