{"title":"Gompertz自回归模型极限环的稳定性条件","authors":"Nezar E. Ali, Azher A. Mohammad","doi":"10.25130/tjps.v28i2.1348","DOIUrl":null,"url":null,"abstract":"In this paper, we suggest Gompertz Autoregressive model by using the cumulative distribution function of Gompertz distribution and, the aim of this paper is studying and finding the stability conditions of a limit cycle for the Gompertz Autoregressive model with period, with giving some examples for Gompertz AR (1) to explain the orbital stable or the orbital unstable with plots the trajectories with different initial values.","PeriodicalId":23142,"journal":{"name":"Tikrit Journal of Pure Science","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability conditions of limit cycle for Gompertz Autoregressive model\",\"authors\":\"Nezar E. Ali, Azher A. Mohammad\",\"doi\":\"10.25130/tjps.v28i2.1348\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we suggest Gompertz Autoregressive model by using the cumulative distribution function of Gompertz distribution and, the aim of this paper is studying and finding the stability conditions of a limit cycle for the Gompertz Autoregressive model with period, with giving some examples for Gompertz AR (1) to explain the orbital stable or the orbital unstable with plots the trajectories with different initial values.\",\"PeriodicalId\":23142,\"journal\":{\"name\":\"Tikrit Journal of Pure Science\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tikrit Journal of Pure Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.25130/tjps.v28i2.1348\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tikrit Journal of Pure Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25130/tjps.v28i2.1348","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability conditions of limit cycle for Gompertz Autoregressive model
In this paper, we suggest Gompertz Autoregressive model by using the cumulative distribution function of Gompertz distribution and, the aim of this paper is studying and finding the stability conditions of a limit cycle for the Gompertz Autoregressive model with period, with giving some examples for Gompertz AR (1) to explain the orbital stable or the orbital unstable with plots the trajectories with different initial values.
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