A Mathematical Model for Bed Bug Infestation Dynamics With Limited Disinfestation

Samuel M. Naandam, Paul Chataa and Gideon K. Gogovi

Journal of Applied Mathematics, 2025, vol. 2025, 1-15

Abstract: This study addresses the pressing challenge of mitigating bed bug infestations in urban and residential settings under the constraints of limited extermination resources. To this end, we develop and analyze a susceptible–infectious–treatment–reservoir (SIT-R) epidemiological model that captures the interactions between humans, domestic animals, and bed bugs residing in the environment. The model provides a robust framework for understanding the dynamics of common bed bug infestations and evaluating control strategies. Using the next-generation matrix approach, we derive the basic reproduction number, ℠0, as a critical threshold parameter. We establish that the infestation-free equilibrium is locally stable when ℠0

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:9981379

DOI: 10.1155/jama/9981379

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