models

Various tools for investigate the data in this data portal or models

🌐 Networked Dynamics: Spatial Metapopulation Models for Epidemic Forecasting

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Spatial Network Models, most commonly implemented through the Metapopulation framework, are core tools in mathematical epidemiology for forecasting infectious disease spread across geographically distinct populations. These models explicitly link local disease dynamics within each population unit to mobility-driven interactions between units, enabling rigorous analysis of how human movement shapes the large-scale diffusion, synchronization, and timing … Read more

🔎 Tracing the Origin: Dynamic Network Models for Epidemic Source Detection

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Dynamic Network Models are a central class of tools in mathematical epidemiology for studying infectious disease spread in populations characterized by heterogeneous and time-varying contact patterns. Unlike classical compartmental models that assume homogeneous mixing, these models explicitly represent individuals and their evolving interactions, making them particularly effective for identifying the source of an epidemic and … Read more

🔗 Complex Networks and Viral Spread: Modeling Heterogeneous Interactions

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Complex network models constitute a core methodology in modern spatial epidemiology, explicitly relaxing the classical assumption of homogeneous mixing. Instead of assuming uniform contact among individuals, these models represent populations as collections of interconnected entities whose interactions govern disease transmission. This approach is particularly essential for infectious diseases such as COVID-19, where heterogeneity in contact … Read more

🌐 𝐃∇² Diffusion Dynamics: Spatiotemporally Continuous Models

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Partial Differential Equations (PDEs) provide a rigorous mathematical framework for modeling infectious disease transmission when epidemic dynamics evolve continuously in both space and time. In contrast to ordinary differential equation models, which assume homogeneous mixing, and metapopulation models, which discretize space into patches, PDE-based approaches describe the smooth spatial propagation of pathogens. These models are … Read more

🗺️ Modeling Disease Spread: The Geography, Population, Movement (GPM) Framework

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Spatial epidemiological models are deterministic or stochastic frameworks designed to investigate how spatial heterogeneities and host movement dynamics influence local and regional disease patterns. These models are essential for moving beyond homogeneous mixing assumptions and for capturing realistic geographic contexts in which infectious diseases emerge, spread, and respond to localized interventions. ──────────────────────────────────────────── 🧱 Compartmental Structure … 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