On the continuity of the function describing the times of meeting impulsive set and its application
| Autor: | Sanyi Tang, Wenhong Pang |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
education.field_of_study
Operations research Computer science Applied Mathematics Population General Medicine Function (mathematics) Dynamical system 01 natural sciences Disease control 010101 applied mathematics Set (abstract data type) Computational Mathematics Modeling and Simulation 0103 physical sciences Applied mathematics Limit (mathematics) 0101 mathematics General Agricultural and Biological Sciences education 010301 acoustics Poincaré map Counterexample |
| Zdroj: | Mathematical Biosciences and Engineering. 14:1399-1406 |
| ISSN: | 1551-0018 |
| DOI: | 10.3934/mbe.2017072 |
| Popis: | The properties of the limit sets of orbits of planar impulsive semi-dynamic system strictly depend on the continuity of the function, which describes the times of meeting impulsive sets. In this note, we will show a more realistic counter example on the continuity of this function which has been proven and widely used in impulsive dynamical system and applied in life sciences including population dynamics and disease control. Further, what extra condition should be added to guarantee the continuity of the function has been addressed generally, and then the applications and shortcomings have been discussed when using the properties of this function. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|