{"title":"A CHARACTERIZATION OF ALMOST DEDEKIND DOMAINS IN VIEW OF STRONG REPRESENTABILITY","authors":"N. Pakyari, E. Rostami, R. Nekooei","doi":"10.1216/rmj.2023.53.897","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.897","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47897605","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":"BILINEAR θ-TYPE GENERALIZED FRACTIONAL INTEGRAL AND ITS COMMUTATOR ON NONHOMOGENEOUS METRIC MEASURE SPACES","authors":"G. Lu, S. Tao","doi":"10.1216/rmj.2023.53.839","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.839","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47986735","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":"STABILITY NEAR HYDROSTATIC EQUILIBRIUM TO THE THREE-DIMENSIONAL MAGNETIC BÉNARD FLUID EQUATIONS WITH PARTIAL DISSIPATION","authors":"Yajie Zhang, Jialiang Wang, Jiang-bo Han","doi":"10.1216/rmj.2023.53.983","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.983","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46424334","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":"ON SPECTRA OF POWER GRAPHS OF FINITE CYCLIC AND DIHEDRAL GROUPS","authors":"Subarsha Banerjee, A. Adhikari","doi":"10.1216/rmj.2023.53.341","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.341","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43073150","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":"SOLVABILITY OF QUADRATIC HADAMARD-TYPE FRACTIONAL INTEGRAL EQUATIONS IN ORLICZ SPACES","authors":"M. Metwali","doi":"10.1216/rmj.2023.53.531","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.531","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44454578","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":"HYERS–ULAM–RASSIAS STABILITY OF LINEAR RECURRENCE OVER THE QUATERNION SKEW YIELD","authors":"Yuqun Zou, Michal Feckan, Jinrong Wang","doi":"10.1216/rmj.2023.53.661","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.661","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47884293","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":"ALGEBRAIC DEGREE OF SERIES OF RECIPROCAL ALGEBRAIC INTEGERS","authors":"Mathias Løkkegaard Laursen","doi":"10.1216/rmj.2023.53.517","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.517","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44577035","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}
: In the present work, we have proposed a hybrid Leslie-Gower predator-prey system with feedback control and hunting cooperation among predator on non uniform time domain, where our proposed model commutes between a continuous-time dynamical system and discrete-time dynamical system. Using the comparison theorems and some dynamic inequality on the time scale, we have studied the permanence results for the proposed system. Also, with the help of a suitable Lyapunov function, we have established some sufficient conditions that will ensure the global attractivity of the proposed model. Furthermore, simulation studies are provided to verify the theoretical results, as well as to further investigate the effects of feedback control strategy and hunting cooperation on the prey-predator system. These findings suggest that hunting cooperation and feedback control strategy have a substantial influence to control the population of predator-prey dynamical system. same parameters values and initial conditions.
{"title":"IMPACT OF HUNTING COOPERATION AND FEEDBACK CONTROL FOR A NONLINEAR HYBRID LESLIE–GOWER PREDATOR-PREY SYSTEM ON NONUNIFORM TIME DOMAIN","authors":"Anil Kumar, Muslim Malik","doi":"10.1216/rmj.2023.53.485","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.485","url":null,"abstract":": In the present work, we have proposed a hybrid Leslie-Gower predator-prey system with feedback control and hunting cooperation among predator on non uniform time domain, where our proposed model commutes between a continuous-time dynamical system and discrete-time dynamical system. Using the comparison theorems and some dynamic inequality on the time scale, we have studied the permanence results for the proposed system. Also, with the help of a suitable Lyapunov function, we have established some sufficient conditions that will ensure the global attractivity of the proposed model. Furthermore, simulation studies are provided to verify the theoretical results, as well as to further investigate the effects of feedback control strategy and hunting cooperation on the prey-predator system. These findings suggest that hunting cooperation and feedback control strategy have a substantial influence to control the population of predator-prey dynamical system. same parameters values and initial conditions.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44214106","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}
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