Isabelle/HOL proofs establish conservation, monotonicity, compartment bounds, and threshold conditions for the SIR ODE by bridging AFP local flows to global forward solutions with reusable scalar lemmas.
Van den Driessche and James Watmough
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Protective behavior driven by disease information can either suppress or prolong mosquito-borne epidemics and may generate recurrent damped waves, with the net effect depending on transmission parameters and host composition.
A nine-compartment nonlinear model with two viral strains and PCHIP-based time-varying parameters is calibrated to Italian COVID-19 third-wave data, achieving high R^2 fits and proving analytical stability properties.
A temperature-driven reaction-diffusion model qualitatively reproduces the spatial spread patterns of Usutu virus in Germany and neighboring countries.
An optimal control formulation is presented for minimizing a cost functional subject to an SIR-type system modeling criminal activity with preventive, rehabilitative, and other policy interventions.
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A model for mosquito-borne epidemic outbreaks with information-dependent protective behaviour
Protective behavior driven by disease information can either suppress or prolong mosquito-borne epidemics and may generate recurrent damped waves, with the net effect depending on transmission parameters and host composition.
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A Crime/S.I.R. optimal control problem
An optimal control formulation is presented for minimizing a cost functional subject to an SIR-type system modeling criminal activity with preventive, rehabilitative, and other policy interventions.