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...
Saved in:
Published in | International journal of dynamics and control Vol. 4; no. 3; pp. 239 - 253 |
---|---|
Main Author | |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.09.2016
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | 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. |
---|---|
ISSN: | 2195-268X 2195-2698 |
DOI: | 10.1007/s40435-014-0099-0 |