Dynamics of a Diffusion Malaria Model With Vector-Bias

DU Caihong

doi:10.21656/1000-0887.430095

Volume 44 Issue 3

Mar. 2023

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DU Caihong. Dynamics of a Diffusion Malaria Model With Vector-Bias[J]. Applied Mathematics and Mechanics, 2023, 44(3): 345-354. doi: 10.21656/1000-0887.430095

Citation:

DU Caihong. Dynamics of a Diffusion Malaria Model With Vector-Bias[J]. Applied Mathematics and Mechanics, 2023, 44(3): 345-354. doi: 10.21656/1000-0887.430095

Citation:

DU Caihong. Dynamics of a Diffusion Malaria Model With Vector-Bias[J]. Applied Mathematics and Mechanics, 2023, 44(3): 345-354. doi: 10.21656/1000-0887.430095

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Dynamics of a Diffusion Malaria Model With Vector-Bias

doi: 10.21656/1000-0887.430095

DU Caihong

School of Mathematics and Statistics, Xidian University, Xi’an 710126, P.R.China

Received Date: 2022-03-21
Rev Recd Date: 2023-03-01

Available Online: 2023-03-14

Publish Date: 2023-03-15

Abstract

Abstract

In order to explore the combined effects of seasonality, vector-bias and human diffusion on malaria transmission, a partially degenerate periodic reaction-diffusion model was considered. With the persistence theory for dynamical systems, the threshold dynamics for the system was established in terms of basic reproduction number
\begin{document}$\mathcal{R}_0$\end{document}
. That is, the disease will go extinct if
$\mathcal{R}_0<1$
, while the disease will be uniformly persistent and break out seasonally for
$\mathcal{R}_0>1$
. Numerical results show that, the neglect of spatial heterogeneity and vector-bias will lead to underestimation of the risk of disease spread.
- malaria model,
- threshold dynamics,
- seasonality,
- vector-bias,
- spatial heterogeneity

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References(33)

References

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