Research Communication | Open Access
Volume 2019 | Communication ID 211
Volume 2019 | Communication ID 211
| On reaction-diffusion prey-predator model with Holling response functional and prey refuge |
Lazaar Oussama, Serhani Mustapha
Received |
Accepted |
Published |
Jan 31, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this paper, we have made an attempt to understand the behavior of a reaction-diffusion Lotka–Volterra type of preypredator model with Holling type III functional responses incorporating prey refuge protecting mx of the prey (x), where m in [0,1). We have contribute the global existence and boundedness of the solution for the spatial model for each positive initial value. Moreover, we have carried out the stability analysis of both the located model (non-spatial model without diffusive spreading) and of the spatial model.