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Published on: May 31, 2020
Effect of host movement on the prevalence of vector-borne diseases
1Department of Mathematics and Statistics, Cleveland State University, Cleveland, OH, 44115, USA. d.gao51@csuohio.edu.
Abstract:
Human movement plays a key role in spreading vector-borne diseases globally. Various spatial models of vector-borne diseases have been proposed and analyzed, mainly focusing on disease dynamics. In this paper, based on a multi-patch Ross-Macdonald model, we study the impact of host migration on the local and global host disease prevalences. Specifically, we find that the local disease prevalence of any patch is bounded by the minimum and maximum disease prevalences of all disconnected patches and establish a weak order-preserving property. For global disease prevalence, we derive its formula at both zero and infinite dispersal rates and compare them under certain conditions, and calculate the right derivative at no dispersal. In the case of two patches, we give two complete classifications of the model parameter space: one is to compare the host disease prevalences with and without host dispersal, and the other is to determine the monotonicity of host disease prevalence with respect to host dispersal rate. Numerical simulations confirm inconsistence between disease persistence and host disease prevalence, as well as between host prevalence and vector prevalence in response to host movement. In general, a more uneven distribution of hosts and vectors in a homogeneous environment leads to lower host prevalence but higher vector prevalence and stronger disease persistence.
Insights
Host migration significantly impacts vector-borne disease spread. Uneven host and vector distribution influences disease persistence and prevalence, with lower host prevalence but higher vector prevalence observed.
Area of Science:
- Epidemiology
- Mathematical Biology
- Ecology
Background:
- Human movement is a critical factor in the global dissemination of vector-borne diseases.
- Existing spatial models primarily focus on disease dynamics, with less emphasis on migration's influence.
Purpose of the Study:
- To investigate the impact of host migration on local and global disease prevalences using a multi-patch Ross-Macdonald model.
- To analyze how host dispersal affects disease dynamics in different spatial configurations.
Main Methods:
- Development and analysis of a multi-patch Ross-Macdonald model incorporating host migration.
- Derivation of formulas for global disease prevalence at zero and infinite dispersal rates.
- Classification of model parameter space for two-patch scenarios to assess dispersal effects.
Main Results:
- Local disease prevalence is bounded by the minimum and maximum prevalences of disconnected patches, exhibiting a weak order-preserving property.
- Formulas for global prevalence at extreme dispersal rates were derived, and comparisons were made.
- Numerical simulations revealed inconsistencies between disease persistence, host prevalence, and vector prevalence in response to host movement.
Conclusions:
- Host migration patterns critically influence the spatial distribution and overall burden of vector-borne diseases.
- Environmental heterogeneity in host and vector distribution can lead to complex epidemiological outcomes, affecting disease persistence and prevalence differently.
- The study highlights the importance of considering host movement in epidemiological models for effective disease control strategies.
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