{"title":"GROUND STATE SIGN–CHANGING SOLUTIONS FOR FRACTIONAL KIRCHHOFF TYPE EQUATIONS IN $ mathbb{R}^{3} $","authors":"Guofeng Che, Haibo Chen","doi":"10.11948/20200307","DOIUrl":"https://doi.org/10.11948/20200307","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"33 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81962789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"OPTIMAL CONTROL PROBLEMS FOR SPACE-FRACTIONAL WAVE EQUATIONS","authors":"Xia Zhang, Khattak Shahzad, Yongqiang Fu","doi":"10.11948/20190322","DOIUrl":"https://doi.org/10.11948/20190322","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"48 1","pages":"711-727"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76979771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We consider a predator-prey model with stage structure for the prey and anti-predator behaviour such that the adult prey can attack vulnerable predators. In which a time delay due to the gestation of the predator is incorporated into this model. By analyzing corresponding characteristic equations, the local stability of each of feasible equilibria and the existence of Hopf bifurcations at the positive equilibrium are established, respectively. By using Lyapunov functionals and LaSalleӳ invariance principle, sufficient conditions are obtained for the global stability of the trivial equilibrium, the predatorextinction equilibrium and the positive equilibrium, respectively. Numerical simulations are performed to illustrate the theoretical results.
{"title":"A DELAYED PREDATOR-PREY MODEL WITH PREY POPULATION GUIDED ANTI-PREDATOR BEHAVIOUR AND STAGE STRUCTURE","authors":"Lingshu Wang, Mei Zhang, Meizhi Jia","doi":"10.11948/20200212","DOIUrl":"https://doi.org/10.11948/20200212","url":null,"abstract":"We consider a predator-prey model with stage structure for the prey and anti-predator behaviour such that the adult prey can attack vulnerable predators. In which a time delay due to the gestation of the predator is incorporated into this model. By analyzing corresponding characteristic equations, the local stability of each of feasible equilibria and the existence of Hopf bifurcations at the positive equilibrium are established, respectively. By using Lyapunov functionals and LaSalleӳ invariance principle, sufficient conditions are obtained for the global stability of the trivial equilibrium, the predatorextinction equilibrium and the positive equilibrium, respectively. Numerical simulations are performed to illustrate the theoretical results.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"11 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90553297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shaolong Xie, X. Hong, Junliang Lu, Kunming China Economics
{"title":"THE BIFURCATION TRAVELLING WAVES OF A GENERALIZED BROER-KAUP EQUATION","authors":"Shaolong Xie, X. Hong, Junliang Lu, Kunming China Economics","doi":"10.11948/20190268","DOIUrl":"https://doi.org/10.11948/20190268","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"48 1","pages":"210-226"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90576839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"EXISTENCE RESULTS OF A SCHROɄINGER EQUATION INVOLVING A NONLINEAR OPERATOR","authors":"Y. Sun","doi":"10.11948/20200207","DOIUrl":"https://doi.org/10.11948/20200207","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"16 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86495882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ANTI-PERIODIC SOLUTION FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATION VIA SADDLE POINT THEOREM","authors":"Suiming Shang, Yu Tian, Zhanbing Bai, M. Zhang","doi":"10.11948/20190348","DOIUrl":"https://doi.org/10.11948/20190348","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"132 1","pages":"254-270"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89065660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"HOPF BIFURCATION IN A DELAYED PREDATOR-PREY SYSTEM WITH GENERAL GROUP DEFENCE FOR PREY","authors":"Chuanying Zhang, R. Wu, Mengxin Chen","doi":"10.11948/20200011","DOIUrl":"https://doi.org/10.11948/20200011","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"15 1","pages":"810-840"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88276315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SOME GEOMETRIC PROPERTIES OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH THE LEMNISCATE OF BERNOULLI","authors":"Liangliang Yang, Yuan Yuan, Jin-Lin Liu","doi":"10.11948/20190411","DOIUrl":"https://doi.org/10.11948/20190411","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"24 1","pages":"790-797"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87220309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SEMICLASSICAL SOLUTIONS OF THE CHOQUARD EQUATIONS IN $mathbb{R}$3","authors":"Ke Jin, Zifei Shen","doi":"10.11948/20200388","DOIUrl":"https://doi.org/10.11948/20200388","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"138 1","pages":"568-586"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73967159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：