Hopf Bifurcation Analysis for the Pest-Predator Models Under Insecticide Use with Time Delay
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 9, Issue 2
Abstract
We consider a delayed Pest-predator model under insecticide use. First, the paper considers the stability and local Hopf bifurcation for a modified Pest-predator model with time delay. In succession, using the normal form theory and center manifold argument, we obtain some explicit results which determine the stability, direction and other properties of bifurcation periodic solutions.
Authors and Affiliations
Yanhui Zhai , Xiaona Ma , Ying Xiong
Keywords
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