Optimization problems in population dynamics

Autor:	A.B. Dishliev, J. Angelova
Rok vydání:	1998
Předmět:	Moment (mathematics) education.field_of_study Optimization problem Differential equation Applied Mathematics Gompertz function Mathematical analysis Population Dynamics (mechanics) education Analysis Mathematics
Zdroj:	Applicable Analysis. 69:207-221
ISSN:	1563-504X 0003-6811
DOI:	10.1080/00036819808840657
Popis:	In this paper we consider initial problems for autonomous differential equations with fixed moments in the form The following problem has been solved. To determine •the number of implsive moments - n; •the quantities of impulsive subtractings - I1,I2:,…In; •the impulsive moments - 0 ∘I1+I2+…+In=I;∘ in the moment T > 0 the solution of considered initial problem will be maximum.It is known the if we have an impulsive analogue to the Verhulst equation, if - the Gompertz model is obtained. The results are applied to the Verhulst and Gompertz models from population dynamics.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5388cbc33425a6cf96eeb9f9e0fefd04 https://doi.org/10.1080/00036819808840657 Zobrazit plný text záznamu