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Function of Reachability for Autonomous Systems of Differential Equations |
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PP: 91-99 |
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Author(s) |
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Katya Dishlieva,
Angel Dishliev,
Andrey Antonov,
Rumyana Chukleva,
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Abstract |
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| The initial value problems for autonomous systems of differential equations are the subject of this paper. In the phase space
of such system is defined the so-called reachable set and a function of reachability is introduced. For each starting point x0, there is a
corresponding function value which is equal to the time necessary to pass from x0 to the reachable set. Some properties of the function
of reachability: continuity, boundedness and more are studied. A generalized model of interaction (competition) of two species, located
in the same nutrient medium is considered. |
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