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Dynamics Analysis on A Modified Leslie-Gower
Predator-Prey Interaction Model
Nur Hafizah Binti Nor Azlan
Supervisor: Dr. Ummu ‘Atiqah Binti Mohd Roslan
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
In this project, we study the population of predator and prey in the ecology system.
Therefore, we consider a modified Leslie-Gower predator-prey model in order to
investigate the dynamics of interacting species of predator and its prey. The objectives
of this project are to determine the stability of the equilibrium points of the interacting
species of predator and its prey using stability analysis and to investigate the changes of
stability in this model by changing the values of parameter in the model. From the
eigenvalues that we get from equilibrium points that we consider, we found that three of
equilibrium points are unstable while one of them is stable. This is for fixed values of
parameters in the model. Next, by changing the values of a parameter in the model, the
results show that there are three types of stability which are asymptotically stable, saddle
and unstable.
981 | UMT UNDERGRADUATE RESEARCH DAY 2018