The Persistence of Invasion and Diffusion Model of Poisonous Weeds with Allee Effect

DOI

10.2991/amms-17.2017.36How to use a DOI?

Keywords

competition; invasion; permanence

Abstract

In this paper, a water resource competition model of poisonous weed invasion and diffusion with Allee effect was studied. We first discuss the persistence of the model. After that, by discretizing the model, the population dynamics with and without Allee effect was simulated. The results shows that: 1. The Allee effect make it more difficult to reach persistence coexistence of edible grass and poisonous weeds; 2. The Allee effect leads to the dynamic change of population quantity from periodic coexistence to stability of poisonous weeds reaches saturation and edible grass becomes extinction.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Lei Shi
AU  - Hua Liu
AU  - Yumei Wei
AU  - Ming Ma
AU  - Rui Jiang
PY  - 2017/11
DA  - 2017/11
TI  - The Persistence of Invasion and Diffusion Model of Poisonous Weeds with Allee Effect
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
PB  - Atlantis Press
SP  - 159
EP  - 163
SN  - 1951-6851
UR  - https://doi.org/10.2991/amms-17.2017.36
DO  - 10.2991/amms-17.2017.36
ID  - Shi2017/11
ER  -