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Effect of constant immigration in plant–pathogen–herbivore interactions

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  • Mukherjee, Debasis

Abstract

This paper presents a model for plants subject to a disease, harvested by (insect) herbivores and it also includes natural enemies of the latter. Basic results on boundedness, feasibility of equilibria, uniform persistence and local and global stability issues are investigated. Numerical simulations are carried out in order to validate the applicability of the model under consideration.

Suggested Citation

  • Mukherjee, Debasis, 2019. "Effect of constant immigration in plant–pathogen–herbivore interactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 160(C), pages 192-200.
    • Handle: RePEc:eee:matcom:v:160:y:2019:i:c:p:192-200
    DOI: 10.1016/j.matcom.2018.12.015
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    1. Liu, Ying Hu & Liu, De Li & An, Min & Fu, Yin Lian & Zeng, Ren Sen & Luo, Shi Ming & Wu, Hanwen & Pratley, Jim, 2009. "Modelling tritrophic interactions mediated by induced defence volatiles," Ecological Modelling, Elsevier, vol. 220(23), pages 3241-3247.
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