VBD

🦟 SIR–SEI Vector–Host Model with Behavioral Saturation and Seasonal Forcing for Dengue

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Accounting for Biting Limits, Human Protective Responses, and Thermal Dynamics ──────────────────────────────────────── 🧠 CONCEPTUAL OVERVIEW This model captures dengue transmission under two key real-world constraints: • Biological saturation: Mosquito biting is limited by gonotrophic cycles and host availability.• Behavioral feedback: As human case counts rise, communities adopt protective measures (e.g., repellents, screens, reduced outdoor activity), reducing … Read more

🦟SIR–SEI Vector–Host Model with Symmetric Behavioral Feedback for Dengue

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Modeling Climate-Driven Transmission and Risk-Aware Human Responses ──────────────────────────────────────── 🧠 Conceptual Overview This model represents dengue transmission as a coupled host–vector process shaped by two interacting drivers: • Environmental forcing: Temperature regulates mosquito biting frequency, survival, and viral development.• Human behavioral adaptation: As infections rise, individuals and communities adopt protective actions (e.g., repellents, reduced outdoor exposure, … Read more

📈 The Macdonald Malaria Model: Decoding the Vector–Host Feedback Loop 🦟

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🧭 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

🦟 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

🌡️ Climate-Sensitive Mechanistic Models: The Core of Vector-Borne Disease Forecasting

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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

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

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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

📈 The Multi-Route DENV Model: Unpacking Dengue Transmission Dynamics

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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

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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

🌡️ Modeling Environmental Drivers: The SIR–SI Framework for Vector-Borne Disease

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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

🦟 Beyond SIR: Advanced Ross–Macdonald Style Models

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Advanced Ross–Macdonald style models constitute the mathematical foundation for understanding and quantifying transmission dynamics of vector-borne diseases, most notably malaria and dengue. These models extend beyond simple SIR-type formulations by explicitly coupling vertebrate host dynamics with insect vector dynamics. Subsequent refinements introduced by later theoretical developments incorporated critical biological realism, including mosquito mortality during the … Read more