Effect of constant immigration in plant–pathogen–herbivore interactions

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...

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Bibliographic Details
Published inMathematics and computers in simulation Vol. 160; pp. 192 - 200
Main Author Mukherjee, Debasis
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2019
Subjects
Bifurcation
Global stability
Persistence
Plant defense
Stability
Persistence
Bifurcation
Stability
Plant defense
Global stability
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Summary: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.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2018.12.015