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Volume 15   Issue 2   Year 2020
Modeling of Insect-Pathogen Dynamics with Biological Control

Sangeeta Saha, Guruprasad Samanta

Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India
 
Abstract. In this work, a model has been proposed to analyze the effect of wild plant species on biologically-based technologies for pest control. It is assumed that the pest species have a second food source (wild host plants) except crops. Analytical results prove that the model is well-posed as the system variables are positive and uniformly bounded. The permanence of the system has been verified. Equilibrium points and corresponding stability analysis have also been performed. Numerical figures have supported the fact that the interior steady state if it exists, remains stable for any transmission rate. Henceforth biological control has a stabilizing effect. Furthermore, the results prove that biological control is beneficial not only for wild plants but for crops too.
 

Key words: eco-epidemic model, modified Leslie--Gower functional response, extinction scenarios, bifurcation, global stability. 

Table of Contents Original Article
Math. Biol. Bioinf.
2020;15(2):268-294
doi: 10.17537/2020.15.268
published in English

Abstract (eng.)
Abstract (rus.)
Full text (eng., pdf)
References

 

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