**Autors:** SALIMOV, A. S., KOPANOV P. I., NAKOV, O. N., ZYULYAMOVA, B. S., REDZHEB, A. B.
**Title:** STACY DISTRIBUTION AND IMPULSIVE DIFFERENTIAL EQUATIONS WITH STACY DISTRIBUTED MOMENTS OF IMPULSES
**Keywords:** impulsive differential equations, random moments of impulses, Stacy distribution**Abstract:** Differential equations with impulses at random moments describe complex real systems, evolving in a continuous way and subjected to sudden sharp external influences at random moments. The abrupt sudden effects on various areas, such as the effects of the COVID19 epidemic on the economy and society, could be described by such equations. A key question in such situations is the extent to which such a system remains sustainable. In previous works we have studied the problems of stability of the models of such systems, described by differential equations with impulses at random moments, having exponential or gamma distribution. In this work we show how the study of such a system, in which random impulses have a more general distribution, known as Stacey distribution, can be reduced to the previous study of differential equations with gamma distributed impulses. Some basic properties of the Stacy distribution have been found and proven, which is a generalized Gamma distribution.
**References**
- ATAKAN SALIMOV, PETER KOPANOV, OGNIAN NAKOV, BYULBYUL ZYULYAMOVA, ADNAN REDZHEB, 2021, YOUTH FORUMS "SCIENCE, TECHNOLOGY, INNOVATION, BUSINESS - 2021", Plovdiv, Bulgaria, 25.11. - 26.11.2021, <Plovdiv, Bulgaria>, ASSOCIATION SCIENCE AND TECHNOLOGY UNIONS AND HOUSE OF SCIENCE AND TECHNIQUE-PLOVDIV
**Issue**
| YOUTH FORUMS "SCIENCE, TECHNOLOGY, INNOVATION, BUSINESS - 2021", pp. 93-99, 2021, Bulgaria, ISBN ISSN 2367 - 8569 |
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