🦟 SIR–SEI Vector–Host Model with Contact Tracing for Dengue

Precision Interruption Under Thermal Forcing and Virus Importation ──────────────────────────────────────── 🧠 CONCEPTUAL OVERVIEWThis model evaluates dengue transmission dynamics in settings where imported cases seed local outbreaks, and public health surveillance triggers focal vector control upon case detection. Unlike directly transmitted diseases, ā€œcontact tracingā€ in dengue does not interrupt human-to-human spread (which does not occur). Instead, it … Read more

šŸ“ˆ The Macdonald Malaria Model: Decoding the Vector–Host Feedback Loop 🦟

🧭 Conceptual Overview The Macdonald malaria model is a foundational mathematical framework for understanding transmission dynamics in vector-borne diseases. It formalizes the feedback loop between human hosts and mosquito vectors, capturing how infection is sustained through repeated biting events. This model underpins modern definitions of the basic reproduction number in vector-borne systems and provides direct … Read more

šŸ“ˆ 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

šŸ“ˆ 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

šŸŒ”ļø Climate-Sensitive Mechanistic Models: The Core of Vector-Borne Disease Forecasting

Mechanistic (process-based) epidemiological models derived from the Ross–MacDonald framework form the backbone of vector-borne disease forecasting. These models explicitly encode biological and ecological processes and allow climatic drivers—particularly temperature (T) and precipitation (P)—to directly modulate transmission dynamics. By embedding climate-dependent functions into transmission, survival, and incubation processes, these models provide a principled framework for projecting … Read more

🦟 MOMA: A Spatially Explicit Agent-Based Model for Aedes aegypti Population Dynamics

🧭 Overview The MOMA (Model Of Mosquito Aedes) is a spatially explicit Agent-Based Simulation Model designed to investigate the population dynamics of the female Aedes aegypti mosquito, the principal vector of Dengue virus. The model represents mosquitoes as individual agents interacting with a heterogeneous environment, allowing localized biological processes and spatial constraints to collectively generate … Read more

🦟 Modeling Dengue Persistence: The Host–Vector–Eggs (HME) Dynamic Framework

The Host–Vector–Eggs (HME) model is a structured extension of the classical Susceptible–Infectious–Susceptible (SIS) and SIR-type formulations, specifically tailored for vector-borne diseases such as Dengue Fever. Its defining feature is the explicit incorporation of the mosquito life cycle, including the egg and immature stages, which play a decisive role in determining adult vector density and, consequently, … Read more

šŸ“ˆ The Multi-Route DENV Model: Unpacking Dengue Transmission Dynamics

The Expanded SEIR-based Dengue Model is a deterministic compartmental framework developed to represent Dengue Virus transmission through multiple routes. In addition to classical mosquito-to-human spread, it explicitly incorporates vertical transmission (mother-to-fetus and transovarial transmission in mosquitoes) and human-to-human transmission through sexual contact. With 12 interacting compartments, the model provides a detailed depiction of disease progression, … Read more

🌐 Beyond the Vector: The 10-Compartment Novel Malaria Model

The Novel Malaria Mathematical Model is an expanded SEIR-based compartmental framework designed to capture malaria transmission through both classical mosquito-borne pathways and non-vector routes such as blood transfusion, congenital transmission, and human-to-human exposure in healthcare settings. By integrating vaccination, treatment, recovery, and multiple exposure mechanisms, this ten-compartment structure provides a comprehensive representation of malaria persistence … Read more

šŸŒ”ļø Modeling Environmental Drivers: The SIR–SI Framework for Vector-Borne Disease

The Susceptible–Infected–Recovered model for humans coupled with a Susceptible–Infected model for mosquitoes (SIR–SI) is a foundational compartmental framework in mathematical epidemiology for studying vector-borne infectious diseases such as malaria. The model explicitly captures the bidirectional transmission dynamics between human hosts and mosquito vectors. A key extension of this framework integrates environmental drivers—most notably temperature and … Read more