{"title":"修正疾病数学模型的周期性解决方案","authors":"Chunhua Feng","doi":"10.56557/ajomcor/2024/v31i38790","DOIUrl":null,"url":null,"abstract":"The present paper investigates the existence of periodic oscillations for a delayed Parkinson's disease mathematical model. We extend the result in the literature from stability to oscillation. Two sufficient conditions to guarantee the oscillation of the solutions are provided. Some parameter that affects the oscillation is sensitive from our simulation.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"55 5","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Periodic Solutions for a Modified Disease Mathematical Model\",\"authors\":\"Chunhua Feng\",\"doi\":\"10.56557/ajomcor/2024/v31i38790\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present paper investigates the existence of periodic oscillations for a delayed Parkinson's disease mathematical model. We extend the result in the literature from stability to oscillation. Two sufficient conditions to guarantee the oscillation of the solutions are provided. Some parameter that affects the oscillation is sensitive from our simulation.\",\"PeriodicalId\":200824,\"journal\":{\"name\":\"Asian Journal of Mathematics and Computer Research\",\"volume\":\"55 5\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Mathematics and Computer Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56557/ajomcor/2024/v31i38790\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Mathematics and Computer Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56557/ajomcor/2024/v31i38790","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Periodic Solutions for a Modified Disease Mathematical Model
The present paper investigates the existence of periodic oscillations for a delayed Parkinson's disease mathematical model. We extend the result in the literature from stability to oscillation. Two sufficient conditions to guarantee the oscillation of the solutions are provided. Some parameter that affects the oscillation is sensitive from our simulation.