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.
and Watmough, James , year=
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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 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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Certified Qualitative Analysis of the SIR ODE and Reusable Scalar Lemmas in Isabelle/HOL
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.
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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 temperature-driven diffusion model of Usutu virus spread in Germany with spillover into neighbouring countries
A temperature-driven reaction-diffusion model qualitatively reproduces the spatial spread patterns of Usutu virus in Germany and neighboring countries.
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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.