| Issue |
Math. Model. Nat. Phenom.
Volume 15, 2020
Mathematical Models and Methods in Epidemiology
|
|
|---|---|---|
| Article Number | 64 | |
| Number of page(s) | 21 | |
| DOI | https://doi.org/10.1051/mmnp/2020047 | |
| Published online | 03 December 2020 | |
Control of Nipah virus outbreak in commercial pig-farm with biosecurity and culling
Department of Mathematics, Indian Institute of Engineering Science & Technology,
Shibpur,
Howrah
711103, India.
* Corresponding author: samhita_maths@yahoo.com
Received:
26
May
2020
Accepted:
8
November
2020
A coupled pig-human Nipah virus disease model is studied in a commercial farm to understand dynamics of disease spillover from pig to human. To portray the specific scenario, two parameters representing biosecurity level and selective culling are included in the system. Along with standard equilibrium analysis, backward and Hopf bifurcation phenomena are demonstrated analytically and numerically. Optimal control of culling alone and also with other controls for the minimization of loss are discussed. It is observed that, irrespective of its application rate, culling is more effective in presence of other controls. Parameter sensitivity analysis of system solution has been used to identify significant parameters for the change of disease dynamics. Sensitivity test is also performed on the objective function of optimal control problem, which singled out crucial parameters influencing the economic loss of farm-owner. Based on this study, some strategies regarding application of various controls are suggested.
Mathematics Subject Classification: 37N25 / 34D20 / 49J15 / 62H20
Key words: Nipah virus disease / biosecurity / selective culling / backward bifurcation / Hopf bifurcation / optimal control / sensitivity analysis
© The authors. Published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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