Transmission dynamics of Zika virus incorporating harvesting

Zongmin Yue; Fauzi Mohamed Yusof; Sabarina Shafie; Zongmin Yue; Fauzi Mohamed Yusof; Sabarina Shafie

doi:10.3934/mbe.2020327

Mathematical Biosciences and Engineering

2020, Volume 17, Issue 5: 6181-6202. doi: 10.3934/mbe.2020327

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Transmission dynamics of Zika virus incorporating harvesting

1.
Faculty of Science and Mathematics, Sultan Idris Education University, Tanjong Malim Perak 35900, Malaysia
2.
School of Arts and sciences, Shaanxi University of Science and Technology, Xi’an 710021, China

Received: 22 August 2020 Accepted: 07 September 2020 Published: 14 September 2020

In this paper, we establish a ZIKV model and investigate the transmission dynamics of ZIKV with two types of harvesting: proportional harvesting and constant harvesting, and give the stability of the steady states of both disease-free and endemic equilibrium, analyze the effect of harvesting on ZIKV transmission dynamics via numerical simulation. We find that proportional harvesting strategy can eliminate the virus when the basic reproduction number R₀ is less than 1, but the constant harvesting strategy may control the virus whether the basic reproduction number is less than 1 or not. Epidemiologically, we find that increasing harvesting may stimulate an increase in the number of virus infections at some point, and harvesting can postpone the peak of disease transmission with the mortality of mosquito increasing. The results can provide us with some useful control strategies to regulate ZIKV dynamics.
- ZIKV,
- harvesting,
- equilibrium,
- stability,
- numerical simulation
Citation: Zongmin Yue, Fauzi Mohamed Yusof, Sabarina Shafie. Transmission dynamics of Zika virus incorporating harvesting[J]. Mathematical Biosciences and Engineering, 2020, 17(5): 6181-6202. doi: 10.3934/mbe.2020327

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Abstract

In this paper, we establish a ZIKV model and investigate the transmission dynamics of ZIKV with two types of harvesting: proportional harvesting and constant harvesting, and give the stability of the steady states of both disease-free and endemic equilibrium, analyze the effect of harvesting on ZIKV transmission dynamics via numerical simulation. We find that proportional harvesting strategy can eliminate the virus when the basic reproduction number R₀ is less than 1, but the constant harvesting strategy may control the virus whether the basic reproduction number is less than 1 or not. Epidemiologically, we find that increasing harvesting may stimulate an increase in the number of virus infections at some point, and harvesting can postpone the peak of disease transmission with the mortality of mosquito increasing. The results can provide us with some useful control strategies to regulate ZIKV dynamics.

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