2023
DOI: 10.1002/mma.9868
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A kinetic model with time‐dependent proliferative/destructive rates

Marco Menale,
Ana Jacinta Soares

Abstract: This paper presents a new kinetic model with time‐dependent proliferative/destructive parameters, where the activity variable of the system attains its values in a discrete real subset. Therefore, a system of nonautonomous nonlinear ordinary differential equations is gained, with the related Cauchy problem. A first result of local existence and uniqueness of positive and bounded solution is proved. Then, the possibility of extend this result globally in time is discussed, with respect to the shape of nonconser… Show more

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