West Nile Virus

🦟 The Bailey–Dietz Model: Cross-Species Dynamics in Vector-Borne Transmission

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📈 Conceptual Overview Vector-borne infectious diseases such as Dengue, Zika, and Malaria require the simultaneous modeling of two biologically distinct populations: a vertebrate host and an arthropod vector. The Bailey–Dietz model extends the classical Ross–Macdonald framework by providing a clear system of ordinary differential equations that explicitly capture the bidirectional transmission cycle between humans and … Read more

🦟 Tracking Arboviruses: Coupled Host–Vector Reaction–Diffusion Dynamics 🌐

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Sophisticated spatial models are essential for understanding diseases transmitted between hosts and vectors, such as West Nile Virus. The spread of this virus across large geographic regions requires mathematical frameworks that couple infection dynamics with spatial movement. Reaction–diffusion models accomplish this by representing the spatial densities of hosts and vectors and by accounting for their … Read more