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A Mathematical Model for Bed Bug Infestation Dynamics With Limited Disinfestation

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  • Samuel M. Naandam
  • Paul Chataa
  • Gideon K. Gogovi

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

Suggested Citation

  • Samuel M. Naandam & Paul Chataa & Gideon K. Gogovi, 2025. "A Mathematical Model for Bed Bug Infestation Dynamics With Limited Disinfestation," Journal of Applied Mathematics, Hindawi, vol. 2025, pages 1-15, March.
    • Handle: RePEc:hin:jnljam:9981379
    DOI: 10.1155/jama/9981379
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