{"title":"NEIMARK-SACKER BIFURCATION AND STABILITY ANALYSIS IN A DISCRETE PHYTOPLANKTON-ZOOPLANKTON SYSTEM WITH HOLLING TYPE II FUNCTIONAL RESPONSE","authors":"S. Shoyimardonov","doi":"10.11948/20220345","DOIUrl":"https://doi.org/10.11948/20220345","url":null,"abstract":"In this paper, we study discrete-time model of phytoplankton-zooplankton with Holling type II predator functional response. It is shown that Neimark-Sacker bifurcation occurs at the one of positive fixed points for certain parameter chosen as a bifurcation parameter. The existence and local stability of the positive fixed points of the model are proved. By considering theoretical results in the concrete example, it was obtained interesting dynamics of this system, which is not investigated in its corresponding continuous system.","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"47 7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132296455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"GLOBAL EXISTENCE AND BLOW-UP FOR ONE-DIMENSIONAL WAVE EQUATION WITH WEIGHTED EXPONENTIAL NONLINEARITY","authors":"Thanaa Alarfaj, Lulwah Al-Essa, Fatimah Alkathiri, Mohamed Majdoub","doi":"10.11948/20220305","DOIUrl":"https://doi.org/10.11948/20220305","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115132183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"PERIODIC SOLUTIONS OF SUPERLINEAR PLANAR HAMILTONIAN SYSTEMS WITH INDEFINITE TERMS","authors":"Shuang Wang, Chunlian Liu","doi":"10.11948/20220426","DOIUrl":"https://doi.org/10.11948/20220426","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115272404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"EXISTENCE OF INFINITELY MANY HOMOCLINIC SOLUTIONS OF DISCRETE SCHRÖDINGER EQUATIONS WITH LOCAL SUBLINEAR TERMS","authors":"Genghong Lin, Zhan Zhou, and Jianshe Yu","doi":"10.11948/20220047","DOIUrl":"https://doi.org/10.11948/20220047","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115304128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"STANDING WAVE SOLUTIONS FOR THE GENERALIZED MODIFIED CHERN-SIMONS-SCHRÖDINGER SYSTEM","authors":"Yingying Xiao, Chuanxi Zhu, Jianhua Chen, Li Xie","doi":"10.11948/20210194","DOIUrl":"https://doi.org/10.11948/20210194","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115371543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"DYNAMICS OF TWO PREDATOR-PREY MODELS WITH POWER LAW RELATION","authors":"Jiandong Zhao, Tonghua Zhang","doi":"10.11948/20220026","DOIUrl":"https://doi.org/10.11948/20220026","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115410699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiaoping Chen, Chengdai Huang, Jinde Cao, Xueying Shi, An Luo
{"title":"HOPF BIFURCATION IN THE DELAYED FRACTIONAL LESLIE-GOWER MODEL WITH HOLLING TYPE II FUNCTIONAL RESPONSE","authors":"Xiaoping Chen, Chengdai Huang, Jinde Cao, Xueying Shi, An Luo","doi":"10.11948/20220451","DOIUrl":"https://doi.org/10.11948/20220451","url":null,"abstract":"In this paper the fractional-order Leslie-Gower model with Holling type II functional response and a single time delay is firstly considered. The stability interval and bifurcation points of developed model are derived via analytic extrapolation by regarding time delay as a bifurcation parameter. Besides, a delayed feedback control is successfully designed to put off the onset of Hopf bifurcation, extend the stability domain, and then the system possesses the stability in a larger parameter range. Some numerical simulations are shown in order to check the availability of the theoretical results.","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117063762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"INFINITELY MANY SOLUTIONS FOR A QUASILINEAR KIRCHHOFF-TYPE EQUATION WITH HARTREE-TYPE NONLINEARITIES","authors":"Chuanxi Zhu, Li Zhou","doi":"10.11948/20210416","DOIUrl":"https://doi.org/10.11948/20210416","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121035463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON A SUPERLINEAR SECOND ORDER ELLIPTIC PROBLEM AT RESONANCE","authors":"Ruyun Ma, Zhongzi Zhao, Mantang Ma","doi":"10.11948/20210356","DOIUrl":"https://doi.org/10.11948/20210356","url":null,"abstract":"","PeriodicalId":241300,"journal":{"name":"Journal of Applied Analysis & Computation","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123572159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}