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Which are more recent results on epidemic models with vectors? 


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Recent results on epidemic models with vectors include the development of a model considering growing and decaying vector populations, which affects the dynamics and computation of the Basic Reproduction Number ($R_0$) . Additionally, a study incorporating media-triggered social awareness and seasonality in vector breeding reveals a threshold triggering self-defense mechanisms in the susceptible subpopulation, with dynamics showing confinement to slow and critical manifolds before reaching equilibria . Furthermore, a structured epidemic model integrating within-host immune-virus dynamics and within-vector viral kinetics, defines a dependent basic reproduction number $\mathcal R_0$ and highlights the impact of within-vector viral kinetics on disease spread and control strategies . These recent findings enhance our understanding of vector-borne disease dynamics and the complexities involved in modeling and controlling epidemics.

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Recent results include defining within-host viral-immune response and within-vector viral kinetics dependent basic reproduction number, proving stability conditions, and highlighting the role of within-vector viral kinetics in epidemics.
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Recent results include a model incorporating social awareness, self-defense systems, and varying vector-host lifespan ratios. The study reveals thresholds triggering self-defense mechanisms and dynamics influenced by media and seasonality.
Recent results on epidemic models with vectors include global stability conditions for disease-free and endemic equilibriums, determination of basic reproduction number, and influence of key parameters on disease spread through numerical simulations.
Recent results include a model addressing nonstationary vector populations in epidemic modeling, highlighting delays in dynamics and parameter reduction to aid in solving unidentifiability issues.

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