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Research Paper | Ecology | India | Volume 4 Issue 7, July 2015

Dynamical Analysis of a Discrete-time Plant-Larva-Adult (PLA) Model with Allee Effect on the Plant

Vijayalakshmi.S ^[3] | Gunasekaran.M ^[2]

Abstract: In this paper, we formulate a discrete-time Plant-Larva-Adult (PLA) model with Allee effect on the plant population. We developed a model that captures the basic features of the interaction between a flowering plant and an insect with a larval stage that feeds on the plants vegetative tissues (e. g. leaves) and an adult pollinator stage. The fixed points were computed and criteria for stability of the system were obtained. Time series plots were obtained for different sets of parameter values. Thrical simulations not only illustrate the validity of our results, but also exhibit more complex dynamical behaviours.

Keywords: Allee effect, PLA model, pollination, fixed points, stability analysis

Edition: Volume 4 Issue 7, July 2015,

Pages: 1271 - 1275