📈 The Dynamics of Inter-Species Transmission: The Host–Vector SEIR–SEI Model with Latency 🦟

🧬 Overview and Conceptual Motivation For pathogens transmitted through an intermediate organism, transmission dynamics cannot be captured by single-population models. The Host–Vector SEIR–SEI model with latency is a rigorous framework designed to describe diseases such as Dengue, Zika, Malaria, and West Nile virus. The defining feature of this model is the explicit inclusion of Exposed … Read more

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

📈 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 🌐

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