Although different strategies for mosquito-borne disease prevention can vary significantly in their efficacy and scale of implementation, they all require that individuals comply with their use. Despite this, human behavior is rarely considered in mathematical models of mosquito-borne diseases. Here, we sought to address that gap by establishing general expectations for how different behavioral stimuli and forms of mosquito prevention shape the equilibrium prevalence of disease. To accomplish this, we developed a coupled contagion model tailored to the epidemiology of dengue and preventive behaviors relevant to it. Under our model's parameterization, we found that mosquito biting was the most important driver of behavior uptake. In contrast, encounters with individuals experiencing disease or engaging in preventive behaviors themselves had a smaller influence on behavior uptake. The relative influence of these three stimuli reflected the relative frequency with which individuals encountered them. We also found that two distinct forms of mosquito prevention—namely, personal protection and mosquito density reduction—mediated different influences of behavior on equilibrium disease prevalence. Our results highlight that unique features of coupled contagion models can arise in disease systems with distinct biological features.
Citation: Marya L. Poterek, Mauricio Santos-Vega, T. Alex Perkins. Equilibrium properties of a coupled contagion model of mosquito-borne disease and mosquito preventive behaviors[J]. Mathematical Biosciences and Engineering, 2025, 22(8): 1875-1897. doi: 10.3934/mbe.2025068
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Although different strategies for mosquito-borne disease prevention can vary significantly in their efficacy and scale of implementation, they all require that individuals comply with their use. Despite this, human behavior is rarely considered in mathematical models of mosquito-borne diseases. Here, we sought to address that gap by establishing general expectations for how different behavioral stimuli and forms of mosquito prevention shape the equilibrium prevalence of disease. To accomplish this, we developed a coupled contagion model tailored to the epidemiology of dengue and preventive behaviors relevant to it. Under our model's parameterization, we found that mosquito biting was the most important driver of behavior uptake. In contrast, encounters with individuals experiencing disease or engaging in preventive behaviors themselves had a smaller influence on behavior uptake. The relative influence of these three stimuli reflected the relative frequency with which individuals encountered them. We also found that two distinct forms of mosquito prevention—namely, personal protection and mosquito density reduction—mediated different influences of behavior on equilibrium disease prevalence. Our results highlight that unique features of coupled contagion models can arise in disease systems with distinct biological features.
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| 2. | Junping Shi, Yixiang Wu, Xingfu Zou, Coexistence of Competing Species for Intermediate Dispersal Rates in a Reaction–Diffusion Chemostat Model, 2020, 32, 1040-7294, 1085, 10.1007/s10884-019-09763-0 | |
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| 5. | Jing Ge, Ling Lin, Lai Zhang, A diffusive SIS epidemic model incorporating the media coverage impact in the heterogeneous environment, 2017, 22, 1553-524X, 2763, 10.3934/dcdsb.2017134 | |
| 6. | Yuan Lou, Rachidi B. Salako, Control Strategies for a Multi-strain Epidemic Model, 2022, 84, 0092-8240, 10.1007/s11538-021-00957-6 | |
| 7. | Jinsheng Guo, Shuang-Ming Wang, Threshold dynamics of a time-periodic two-strain SIRS epidemic model with distributed delay, 2022, 7, 2473-6988, 6331, 10.3934/math.2022352 | |
| 8. | Rachidi B. Salako, Impact of population size and movement on the persistence of a two-strain infectious disease, 2023, 86, 0303-6812, 10.1007/s00285-022-01842-z | |
| 9. | Yuan Lou, Rachidi B. Salako, Mathematical analysis of the dynamics of some reaction-diffusion models for infectious diseases, 2023, 370, 00220396, 424, 10.1016/j.jde.2023.06.018 | |
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| 11. | Azmy S. Ackleh, Nicolas Saintier, Aijun Zhang, A multiple-strain pathogen model with diffusion on the space of Radon measures, 2025, 140, 10075704, 108402, 10.1016/j.cnsns.2024.108402 | |
| 12. | Jamal Adetola, Keoni G. Castellano, Rachidi B. Salako, Dynamics of classical solutions of a multi-strain diffusive epidemic model with mass-action transmission mechanism, 2025, 90, 0303-6812, 10.1007/s00285-024-02167-9 |
Marya L. Poterek, Mauricio Santos-Vega, T. Alex Perkins. Equilibrium properties of a coupled contagion model of mosquito-borne disease and mosquito preventive behaviors[J]. Mathematical Biosciences and Engineering, 2025, 22(8): 1875-1897. doi: 10.3934/mbe.2025068
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