Abstract
Biological systems can be subjected to short-term fluctuations in the environment or in the character of the system. This paper models such dynamics by evolution equations with impulses. An appropriate setting is a space of Banach space valued functions of bounded variation. Some general properties, such as existence and uniqueness, are considered, along with some dynamical system concepts of impulsive evolution equations. The study is motivated by, and refers to an example of a continuously age-distributed population subjected to impulses from time to time.
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Diamond, P. (1990). Impulsive Evolution Equations and Population Models. In: Vincent, T.L., Mees, A.I., Jennings, L.S. (eds) Dynamics of Complex Interconnected Biological Systems. Mathematical Modelling, vol 6. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-6784-0_10
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DOI: https://doi.org/10.1007/978-1-4684-6784-0_10
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