{"title":"An SEIQR Model with Vaccination Class Influencing the Significance of Booster Dose for COVID-19","authors":"A. J. Cyril Yagan, Jasmine D","doi":"10.14445/22315373/ijmtt-v70i2p101","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v70i2p101","url":null,"abstract":"","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140456026","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 the Oscillatory Behavior of Caputo Fractional Nonlinear Damped Extensible Beam Equations","authors":"S. Priyadharshini, G. Chatzarakis, V. Sadhasivam","doi":"10.14445/22315373/ijmtt-v70i1p102","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v70i1p102","url":null,"abstract":"- The main objective of this paper is to study the oscillatory behavior of solution of the fractional nonlinear damped extensible beam equations by using the Riccati technique and integral average method. Some new sufficient conditions are established with various boundary conditions over a cylindrical domains. Examples illustrating the results are also given","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"248 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140484615","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":"Modal Regression for Varying Coefficient Model in High Dimensions","authors":"Zhaoliang Wang, Suting Zhang","doi":"10.14445/22315373/ijmtt-v70i1p104","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v70i1p104","url":null,"abstract":"BY-NC-ND","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"148 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140484365","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":"Non-Degeneracy and Uniqueness of Periodic Solutions for Fifth-Order Non-Linear Differential Equations","authors":"Yafei Li","doi":"10.14445/22315373/ijmtt-v70i1p101","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v70i1p101","url":null,"abstract":"- In this paper, the non-degeneracy of a class of fifth-order linear differential equations are investigated by Wirtinger inequality. In addition, the non-degenerate results are used to obtain the existence and uniqueness of periodic solutions for the fifth-order non-linear differential equations with super-linear terms","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"536 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140482780","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":"Effect of Treatment and Awareness on HIV/AIDS Epidemic Model","authors":"Debashis Biswas","doi":"10.14445/22315373/ijmtt-v70i1p105","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v70i1p105","url":null,"abstract":"","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"132 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140484416","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":"Circling the Square with Straightedge and Compass in Euclidean Geometry","authors":"Tran Dinh Son","doi":"10.14445/22315373/ijmtt-v70i1p103","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v70i1p103","url":null,"abstract":"by-nc-nd","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"11 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140485475","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":"Unstability of Zero Solution of a Class Nonautonomous Differential Equation","authors":"Yaxin Guo","doi":"10.14445/22315373/ijmtt-v69i8p503","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i8p503","url":null,"abstract":"- In this paper, we consider a class of one-dimensional nonautonomous differential equation. Under certain conditions, we construct the general solution and prove that the zero solution x = 0 are unstable. The differential equations of mechanics arises from the variational problems of the laws of nature, thus, the study about stability or the unstability of the special solutions, such as the zero solution, attracts many researchers. The novelty of this paper is that the system we consider is nonautonimous with the vector field being the polynomial of any order and prove that the zero solution is unstable. Our result will throw light on the research of the dynamics of celestial mechanics and enrich the differential equation theory.","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240839","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":"Real Life Applications of Improper Integrals","authors":"Ritu Kathuria","doi":"10.14445/22315373/ijmtt-v69i8p510","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i8p510","url":null,"abstract":"","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240837","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":"Interacting Tsallis Holographic Dark Energy Models with Constant Deceleration Parameter","authors":"Vaibhav D. Bokey","doi":"10.14445/22315373/ijmtt-v69i8p505","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i8p505","url":null,"abstract":"- In this work, we investigate an anisotropic and homogeneous Bianchi Type-I universe filled with Dark Matter (DM) and Dark Energy (DE) in the framework of Einstein’s theory of Relativity. We choose an interaction between DM and DE with the interacting term, 𝑄 = 3𝐻𝛾𝜌 𝑚 , by considering Tsallis generalized entropy. The exact solutions of the field equations are obtained by using the laws of the Hubble parameter proposed by Berman [1]. The EoS parameter of Tsallis Holographic DE (THDE) is explaining the evolution of the universe as The EoS parameter is Phantom like, Quintessence like and approaches to ΛCDM model. The EoS parameter, Anisotropy Parameter, Deceleration parameter, Total Energy Density parameter are explained by graphical representation in both models. The results, we obtained are consistent with the observational data.","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240841","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":"Theoretical Study of the Impact of Availability and Efficacy of Controls on the Transmission Dynamics of Schistosomiasis","authors":"Owin Olowu, Ann Nwankwo","doi":"10.14445/22315373/ijmtt-v69i8p502","DOIUrl":"https://doi.org/10.14445/22315373/ijmtt-v69i8p502","url":null,"abstract":"- In this paper we present a deterministic nonlinear model which provides mathematical and epidemiological insights to the influence of availability and efficacy of control on the transmission dynamics of Schistosomiasis. Schistosomiasis is second only to Malaria in terms of impact as the most brutal parasitic disease. There is also presently no vaccine in commercial quantity against the parasite, Schistosoma spp. Thus, the need to explore other control measures. The disease free equilibrium of the model was shown to be locally asymptotically stable if ℛ 𝑐 < 1 , and unstable and if ℛ 𝑐 > 1 . Again, the endemic equilibrium as also shown to be globally asymtotically stable for the special case when there is permanent immunity upon recovery.","PeriodicalId":479520,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240836","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}