University of Guilan Journal of Mathematical Modeling 2345-394X 5 2 2017 12 01 Hopf bifurcation analysis of a diffusive predator-prey model with Monod-Haldane response 119 136 2482 10.22124/jmm.2017.2482 EN Sambath Muniyagounder Department of Mathematics, Periyar University, Salem-636011, India Ramajayam Sahadevan Ramanujan Institute for Advanced Study in Mathematics, University of Madras, hennai-600005, India Journal Article 2017 11 01 In this paper, we have studied the diffusive predator-prey model with Monod-Haldane functional response. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated by analyzing the distribution of eigenvalues without diffusion. We also study the spatially homogeneous and non-homogeneous periodic solutions through all parameters of the system which are spatially homogeneous. In order to verify our theoretical results, some numerical simulations are also presented. https://jmm.guilan.ac.ir/article_2482_0f775ecfc0197e23541d4f5fbcaa278c.pdf