Pub Date : 2026-03-23DOI: 10.1016/j.aml.2026.109944
Luigi Barletti, Francesco Salvarani
{"title":"Trend to equilibrium of the Wigner function describing a quantum particle subject to decoherence","authors":"Luigi Barletti, Francesco Salvarani","doi":"10.1016/j.aml.2026.109944","DOIUrl":"https://doi.org/10.1016/j.aml.2026.109944","url":null,"abstract":"","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"19 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147502130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-21DOI: 10.1016/j.aml.2026.109941
Qianqian Zheng, Lingling Li, Mengxin Chen
{"title":"The consequence of the proportional–derivative controller on Turing instability in a predator–prey model","authors":"Qianqian Zheng, Lingling Li, Mengxin Chen","doi":"10.1016/j.aml.2026.109941","DOIUrl":"https://doi.org/10.1016/j.aml.2026.109941","url":null,"abstract":"","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"270 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147495392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-16DOI: 10.1016/j.aml.2026.109937
Meixin Zhou, FaJun Yu
In recent years, the parity time(PT) symmetry was introduced in integrable systems, numerous simple and integrable nonlocal integrable equations have been discovered, such as the classical nonlinear Schrödinger(NLS) equation. Recently, Ablowitz and Musslimani derived the spatial displacement nonlocal NLS equation by proposing a PT-symmetric constraint on the AKNS system. In this paper, we study the integrable space–time shifted nonlocal NLS equation by using the Hirota bilinear method, and obtain one-soliton and two-soliton solutions, and consider their collision behaviors with each other. By selecting different free functions, we get bright soliton, periodic soliton and the parallel double solitons, etc. These results provide powerful methods for further controlling the propagation of solitons.
{"title":"Space–time shifted solitons and solution interactions for a generalized nonlocal nonlinear Schrödinger equation","authors":"Meixin Zhou, FaJun Yu","doi":"10.1016/j.aml.2026.109937","DOIUrl":"https://doi.org/10.1016/j.aml.2026.109937","url":null,"abstract":"In recent years, the parity time(PT) symmetry was introduced in integrable systems, numerous simple and integrable nonlocal integrable equations have been discovered, such as the classical nonlinear Schrödinger(NLS) equation. Recently, Ablowitz and Musslimani derived the spatial displacement nonlocal NLS equation by proposing a PT-symmetric constraint on the AKNS system. In this paper, we study the integrable space–time shifted nonlocal NLS equation by using the Hirota bilinear method, and obtain one-soliton and two-soliton solutions, and consider their collision behaviors with each other. By selecting different free functions, we get bright soliton, periodic soliton and the parallel double solitons, etc. These results provide powerful methods for further controlling the propagation of solitons.","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"26 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147465816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-16DOI: 10.1016/j.aml.2026.109936
Xinzhu Guan, Yueping Dong, Hailing Wang
This study presents a comprehensive analysis of the global stability of an HIV infection model that incorporates the role of follicular dendritic cells (FDCs) in viral persistence by Lyapunov’s direct method. The basic reproduction number R0 serves as the critical threshold governing the dynamical behavior of the proposed model. When R0<1, the system converges to the infection-free equilibrium, which corresponds to the complete clearance of the virus. Conversely, when R0>1, the system stabilizes at the infected equilibrium, which indicates the sustained persistence of the virus within the host. Numerical simulations demonstrate that increasing the viral clearance rate and the efficacy of highly active antiretroviral therapy, while simultaneously reducing the virus unbinding rate from FDCs, can shift the system from an infected steady state toward an infection-free steady state, thereby facilitating effective control of HIV. These findings highlight the essential role of incorporating viral reservoirs, particularly FDCs, into models designed to elucidate the long-term dynamics of HIV infection.
{"title":"Global stability of an HIV infection model with follicular dendritic cells","authors":"Xinzhu Guan, Yueping Dong, Hailing Wang","doi":"10.1016/j.aml.2026.109936","DOIUrl":"https://doi.org/10.1016/j.aml.2026.109936","url":null,"abstract":"This study presents a comprehensive analysis of the global stability of an HIV infection model that incorporates the role of follicular dendritic cells (FDCs) in viral persistence by Lyapunov’s direct method. The basic reproduction number <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:msub><mml:mrow><mml:mi mathvariant=\"script\">R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math> serves as the critical threshold governing the dynamical behavior of the proposed model. When <mml:math altimg=\"si2.svg\" display=\"inline\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"script\">R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\"><</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>, the system converges to the infection-free equilibrium, which corresponds to the complete clearance of the virus. Conversely, when <mml:math altimg=\"si3.svg\" display=\"inline\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"script\">R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">></mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>, the system stabilizes at the infected equilibrium, which indicates the sustained persistence of the virus within the host. Numerical simulations demonstrate that increasing the viral clearance rate and the efficacy of highly active antiretroviral therapy, while simultaneously reducing the virus unbinding rate from FDCs, can shift the system from an infected steady state toward an infection-free steady state, thereby facilitating effective control of HIV. These findings highlight the essential role of incorporating viral reservoirs, particularly FDCs, into models designed to elucidate the long-term dynamics of HIV infection.","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"44 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147465819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-13DOI: 10.1016/j.aml.2026.109935
Yi He
{"title":"multiplicity of positive solutions for the Gross–Pitaevskii equation in trapped dipolar quantum gases","authors":"Yi He","doi":"10.1016/j.aml.2026.109935","DOIUrl":"https://doi.org/10.1016/j.aml.2026.109935","url":null,"abstract":"","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"27 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147447556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-12DOI: 10.1016/j.aml.2026.109932
Kohei Suzuki, Takashi Goda
{"title":"Hidden low-discrepancy structures in random point sets","authors":"Kohei Suzuki, Takashi Goda","doi":"10.1016/j.aml.2026.109932","DOIUrl":"https://doi.org/10.1016/j.aml.2026.109932","url":null,"abstract":"","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"36 1","pages":""},"PeriodicalIF":3.7,"publicationDate":"2026-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147447562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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