Dengue

📈 The Mosaic of Immunity: The SIR Model with Partial Immunity for Dengue

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──────────────────────────────────────── 🧠 CONCEPTUAL OVERVIEWDengue virus exists as four antigenically distinct serotypes (DENV-1 to DENV-4). Infection with one serotype confers lifelong homotypic immunity but only temporary cross-protection against heterologous serotypes. After cross-immunity wanes (typically within 6–18 months), individuals become susceptible to secondary infection, often with increased risk of severe disease due to antibody-dependent enhancement (ADE). This … Read more

📈 Immunological Barriers: The Temperature-Dependent Vector–Host Model with Imperfect Vaccination for Dengue

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──────────────────────────────────────── 🧠 CONCEPTUAL OVERVIEWDengue virus transmission is shaped by complex interactions among human immunity, vector ecology, and climate. This revised model integrates:• Imperfect mass vaccination with leaky efficacy• Temperature-dependent mosquito life-history traits, including biting, recruitment, mortality, and extrinsic incubation• Continuous virus importation via infected travelers• Explicit vector latency to represent EIP dynamics The framework enables … Read more

🦟 Breaking the Cycle: The SIR with Isolation Model for Dengue

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──────────────────────────────────────── 🧠 CONCEPTUAL OVERVIEWIn modeling vector-borne diseases like dengue, public health interventions that reduce human–mosquito contact—such as clinical isolation—can significantly disrupt transmission. The SIR with Isolation model extends the classic host–vector framework to explicitly represent the removal of viraemic individuals from the mosquito biting pool. This enables quantitative assessment of how rapid case isolation can … Read more

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

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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, “contact tracing” in dengue does not interrupt human-to-human spread (which does not occur). Instead, it … Read more

📈 The Dynamics of Inter-Species Transmission: The Host–Vector SEIR–SEI Model with Latency 🦟

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🧬 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

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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

🦟 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