Ziwang Deng

📈 Spatial Frontiers: The Traveling Wave Invasion Model for Dengue 🌊

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🧠 Conceptual OverviewIn spatial epidemiology, the Traveling Wave Invasion Model provides a mechanistic framework to describe how Aedes aegypti populations and dengue virus expand geographically into previously non-endemic regions. Unlike well-mixed or stationary models, this reaction–diffusion system explicitly couples local transmission dynamics with spatial dispersal, incorporating temperature-dependent vector bionomics, virus importation, and the extrinsic incubation … Read more

📈 The Dynamics of Infection-Age: A Time-Since-Infection PDE Model for Dengue

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🧠 Conceptual OverviewIn arboviral epidemiology—particularly for dengue—the Time-Since-Infection Partial Differential Equation (PDE) model offers a biologically grounded alternative to traditional ODE frameworks. While standard compartmental models assume constant per-capita recovery or transmission rates (implying exponential waiting times), the infection-age approach treats the infected population as a continuum indexed by time since infection. This allows explicit … Read more

📈 Temporal Lags and Vector Bionomics: The Time-Delay SIR Model 🦟

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──────────────────────────────────────────── 🧠 Conceptual Overview In mathematical epidemiology, the Time-Delay SIR model is a mechanistic framework designed specifically for vector-borne pathogens such as dengue virus. Unlike classical SIR models that assume instantaneous transitions between epidemiological states, this formulation explicitly incorporates biologically realistic waiting times using delay differential equations. Its central feature is the Extrinsic Incubation Period … Read more

📈 Capturing the Latency: The Time-Delay SEIR Model for Dengue 🌡️

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──────────────────────────────────────────── 🧠 Conceptual Overview In the sophisticated landscape of arboviral modeling, the Time-Delay SEIR model provides a high-fidelity mechanistic framework that explicitly represents the fixed incubation periods inherent in dengue transmission. Unlike standard ordinary differential equation models, which assume exponentially distributed waiting times, this formulation employs delay differential equations to capture two biologically essential temporal … Read more

📈 Climate-Forced Dynamics: The Temperature-Dependent Ross–Macdonald Model 🌡️

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──────────────────────────────────────── 🧠 Conceptual Overview In the rigorous study of infectious disease ecology, the temperature-dependent Ross–Macdonald model provides a foundational mechanistic framework for understanding vector-borne transmission under climate variability. This formulation extends the classical Ross–Macdonald theory by explicitly incorporating the thermal bionomics of Aedes aegypti, the primary vector of dengue virus. By allowing key transmission parameters … Read more

📈 Waning Immunity and Climate Forcing: The SVIRS Model for Dengue 💉🦟

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──────────────────────────────────────── 🧠 Conceptual Overview In advanced arboviral modeling, the SVIRS (Susceptible–Vaccinated–Infectious–Recovered–Susceptible) model is a critical mechanistic framework for diseases where immunity is temporary rather than lifelong. This structure is particularly appropriate for Dengue, where both vaccine-induced protection and natural immunity may wane over time. By explicitly representing vaccination, breakthrough infections, and immunity loss, and by … Read more

📈 The Silent Reservoir: The Subclinical Infection SEIR Model for Dengue

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──────────────────────────────────────── 🧠 Conceptual OverviewIn arboviral epidemiology, the Subclinical Infection SEIR model provides a mechanistic framework for quantifying hidden drivers of dengue transmission. Unlike standard models that focus only on symptomatic infections, this formulation explicitly represents asymptomatic or subclinical infections, which often remain undetected yet contribute substantially to the viraemic pool and sustain mosquito infection. By … Read more

📈 Spatial Metapopulation Dynamics: Modeling Dengue Across Landscapes 🗺️

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──────────────────────────────────────── 🧠 Conceptual OverviewIn the complex geography of arboviral spread, the Spatial Metapopulation Model provides a high-resolution mechanistic framework for Aedes aegypti–driven dengue transmission. This approach moves beyond mean-field assumptions by representing human settlements as discrete spatial patches—such as neighborhoods, cities, or districts—connected through human migration, while explicitly modeling short-range mosquito dispersal between adjacent patches. … Read more

📈 SVIR–SEI Model for Dengue with Climate-Sensitive Vector Bionomics and Imperfect Vaccination

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──────────────────────────────────────── 🧠 Conceptual OverviewThis framework extends classical dengue transmission models by integrating four core mechanisms: • Imperfect vaccination with potential waning of vaccine-induced protection• Climate-driven vector bionomics, including temperature-sensitive biting, mortality, recruitment, and extrinsic incubation• Virus importation from external sources into the resident population• Natural infection–induced immunity following recovery The model is designed to evaluate … Read more

📈 Clinical Intervention and Vector Dynamics: A Revised SITR Model for Dengue

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──────────────────────────────────────── 🧠 CONCEPTUAL OVERVIEWDengue virus transmission is shaped by the interplay between human clinical management, mosquito vector ecology, and environmental drivers, particularly temperature. To capture this complexity, this revised SITR (Susceptible–Infected–Treated–Recovered) framework explicitly incorporates: • Partial clinical uptake: Only a fraction of symptomatic infections receive timely treatment.• Asymptomatic transmission: Untreated infectious individuals (including asymptomatic infections … Read more