SIS Model

📈 SIS-with-Treatment Model for Dengue with Thermal Vector Bionomics

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──────────────────────────────────────── 🧠 Conceptual OverviewThis model describes short-term dengue transmission dynamics in an urban setting under the following assumptions and mechanisms: • SIS infection structure: Infection does not confer lasting immunity over the modeled horizon (weeks to months), which can be justified within a single serotype and short time windows.• Clinical treatment effect: Treatment accelerates viraemia … Read more

📈 Endemic Recurrence: The SIS Model with Demography and Seasonal Forcing

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──────────────────────────────────────────── 🧠 Conceptual OverviewIn infectious disease dynamics, the SIS (Susceptible–Infectious–Susceptible) model with demography provides a foundational framework for pathogens that do not confer immunity after recovery. Individuals who recover immediately return to the susceptible class, enabling repeated infections over their lifetime. By incorporating vital dynamics—specifically, births and natural deaths at equal per-capita rates—the model transitions … Read more

📈 Spatial Persistence and Flow: The Reaction–Diffusion SIS Model 🌍

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🧠 Conceptual Overview In the sophisticated field of spatial epidemiology, the Reaction–diffusion SIS model is a cornerstone framework for analyzing the geographic spread and long-term persistence of infectious diseases that do not confer lasting immunity. By combining the classical SIS epidemiological structure with a spatial diffusion operator, the model moves beyond purely temporal dynamics and … Read more

📈 The Cycle of Persistence: The Mean-Field SIS Model 🔄

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🧭 Conceptual Overview In mathematical epidemiology, many classical models emphasize the acquisition of immunity following infection. In contrast, the Mean-field SIS model captures the dynamics of pathogens that do not induce long-lasting immunity. In this framework, individuals cycle repeatedly between being susceptible and being infectious. The population is assumed to be perfectly mixed, meaning each … Read more

🛬 The Elimination–Importation SIS Model: Dynamics of Persistence in an Interconnected World 📈

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──────────────────────────────────────── 🧭 Conceptual Overview In the context of regional and national disease elimination efforts, local control alone is often insufficient. The Elimination–Importation SIS Model formalizes the reality that populations are not closed systems. Even when local transmission is suppressed below the epidemic threshold, a disease may persist due to the continual arrival of infectious individuals … Read more

📈 The Core-Group STI Model: Dynamics of High-Activity Reservoirs 🧬

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🏗️ Conceptual Overview In the epidemiology of sexually transmitted infections (STIs), population heterogeneity plays a dominant role. Transmission is often sustained by a relatively small subset of individuals with high rates of partner change. The Core-Group STI Model formalizes this observation by explicitly partitioning the population into activity-defined subgroups and examining how a highly active … Read more