Disease control through provision of alternative food to predator: a model based study

This paper focuses on the study of a mathematical predator-prey epidemic model supplying alternative food to predator. The main objective is to study the consequences of providing alternative food on the epidemic system. Different basic reproduction numbers are determined and the impacts of alternat...

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Published inInternational journal of dynamics and control Vol. 4; no. 3; pp. 239 - 253
Main Author Sahoo, Banshidhar
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
Subjects
Complexity
Control
Control and Systems Theory
Dynamical Systems
Engineering
Vibration
Bifurcation
Basic reproduction number
Alternative food
Stability
Optimal control
Prey infection
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Abstract This paper focuses on the study of a mathematical predator-prey epidemic model supplying alternative food to predator. The main objective is to study the consequences of providing alternative food on the epidemic system. Different basic reproduction numbers are determined and the impacts of alternative food in reducing infected individuals are discussed. The dynamical behaviour of the system is investigated from the point of view of stability and persistence both analytically and numerically. To achieve the control of disease, an optimal control problem is formulated and solved. Numerical results illustrate that there exists a critical infection rate above which disease free system can not be reached in absence of alternative food, but suitable alternative food leads the system disease free with higher infection rate. The disease free system will be also obtained in presence of seasonally varying contact rate. This study is aimed to introduce a new non-chemical method for controlling disease in a predator-prey system.
AbstractList This paper focuses on the study of a mathematical predator-prey epidemic model supplying alternative food to predator. The main objective is to study the consequences of providing alternative food on the epidemic system. Different basic reproduction numbers are determined and the impacts of alternative food in reducing infected individuals are discussed. The dynamical behaviour of the system is investigated from the point of view of stability and persistence both analytically and numerically. To achieve the control of disease, an optimal control problem is formulated and solved. Numerical results illustrate that there exists a critical infection rate above which disease free system can not be reached in absence of alternative food, but suitable alternative food leads the system disease free with higher infection rate. The disease free system will be also obtained in presence of seasonally varying contact rate. This study is aimed to introduce a new non-chemical method for controlling disease in a predator-prey system.
Author Sahoo, Banshidhar
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Issue 3
Keywords Bifurcation
Basic reproduction number
Alternative food
Stability
Optimal control
Prey infection
Language English
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Snippet This paper focuses on the study of a mathematical predator-prey epidemic model supplying alternative food to predator. The main objective is to study the...
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SubjectTerms Complexity
Control
Control and Systems Theory
Dynamical Systems
Engineering
Vibration
Title Disease control through provision of alternative food to predator: a model based study
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