Evaluating the effect of virus mutation on the transmission of avian
influenza H7N9 virus in China based on dynamical model

Ning Bai; Juan Zhang; Li Li; Zhen Jin; Ning Bai; Juan Zhang; Li Li; Zhen Jin

doi:10.3934/mbe.2019170

Mathematical Biosciences and Engineering

2019, Volume 16, Issue 5: 3393-3410. doi: 10.3934/mbe.2019170

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Evaluating the effect of virus mutation on the transmission of avian influenza H7N9 virus in China based on dynamical model

1.
Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, People’s Republic of China
2.
Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan, Shanxi 030006, People’s Republic of China
3.
School of Computer & Information Technology, Shanxi University, Taiyuan, Shanxi 030006, People’s Republic of China

Received: 22 February 2019 Accepted: 03 April 2019 Published: 19 April 2019

In 2017, the low pathogenic avian influenza H7N9 virus in China had mutated into high pathogenicity to domestic poultry, and led to a large number of poultry death and human cases. To evaluate the effect of virus mutation on the transmission of avian influenza H7N9 virus, this paper takes Guangdong province for the research area, takes domestic poultry, virus in the domestic poultry survival environment and human beings for the research objects, and establishes a non-autonomous dynamical model. By fitting model with the newly confirmed human cases in Guangdong province, the model we established is confirmed and applied to explain the dynamics of historical human cases. By carrying on parameter estimation, it is deduced that at least 5279376 human beings in Guangdong province had been infected with avian influenza H7N9 virus from March 2013 to September 2017, but most of them were not confirmed, since they had no obvious symptoms or had been cured as common influenza. And comparing with the low pathogenic avian influenza H7N9 virus (H7N9 LPAIV), the transmission rate of the highly pathogenic avian influenza H7N9 virus (H7N9 HPAIV) to human is almost unchanged, but to domestic poultry is about 3.87 times higher. Also, we calculate the basic reproduction number $\mathcal{R}_0$ = 1.3042, which indicates that the virus will persist in Guangdong province with time. Besides, we also perform some sensitivity analysis of the newly confirmed human cases and $\mathcal{R}_0$ in terms of model parameters and conclude that reducing the birth population of domestic poultry, speeding up the circulation of domestic poultry in the market and raising the rate of disease-related death of domestic poultry are benefit to control the transmission of the avian influenza H7N9 virus.
- avian influenza H7N9 virus,
- virus mutation,
- dynamical model,
- basic reproduction number,
- data fitting,
- parameters estimation,
- sensitivity analysis
Citation: Ning Bai, Juan Zhang , Li Li, Zhen Jin. Evaluating the effect of virus mutation on the transmission of avianinfluenza H7N9 virus in China based on dynamical model[J]. Mathematical Biosciences and Engineering, 2019, 16(5): 3393-3410. doi: 10.3934/mbe.2019170

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Abstract

In 2017, the low pathogenic avian influenza H7N9 virus in China had mutated into high pathogenicity to domestic poultry, and led to a large number of poultry death and human cases. To evaluate the effect of virus mutation on the transmission of avian influenza H7N9 virus, this paper takes Guangdong province for the research area, takes domestic poultry, virus in the domestic poultry survival environment and human beings for the research objects, and establishes a non-autonomous dynamical model. By fitting model with the newly confirmed human cases in Guangdong province, the model we established is confirmed and applied to explain the dynamics of historical human cases. By carrying on parameter estimation, it is deduced that at least 5279376 human beings in Guangdong province had been infected with avian influenza H7N9 virus from March 2013 to September 2017, but most of them were not confirmed, since they had no obvious symptoms or had been cured as common influenza. And comparing with the low pathogenic avian influenza H7N9 virus (H7N9 LPAIV), the transmission rate of the highly pathogenic avian influenza H7N9 virus (H7N9 HPAIV) to human is almost unchanged, but to domestic poultry is about 3.87 times higher. Also, we calculate the basic reproduction number $\mathcal{R}_0$ = 1.3042, which indicates that the virus will persist in Guangdong province with time. Besides, we also perform some sensitivity analysis of the newly confirmed human cases and $\mathcal{R}_0$ in terms of model parameters and conclude that reducing the birth population of domestic poultry, speeding up the circulation of domestic poultry in the market and raising the rate of disease-related death of domestic poultry are benefit to control the transmission of the avian influenza H7N9 virus.

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