Zheng, Pan; Shan, Wenhai; Liao, Guangyuan Stability analysis of the immune system induced by chemotaxis. (English) Zbl 07741166 SIAM J. Appl. Dyn. Syst. 22, No. 3, 2527-2569 (2023). MSC: 35B35 35B40 35K51 35K59 92C17 92C45 PDFBibTeX XMLCite \textit{P. Zheng} et al., SIAM J. Appl. Dyn. Syst. 22, No. 3, 2527--2569 (2023; Zbl 07741166) Full Text: DOI
Burini, D.; Chouhad, N. Cross-diffusion models in complex frameworks from microscopic to macroscopic. (English) Zbl 1522.35515 Math. Models Methods Appl. Sci. 33, No. 9, 1909-1928 (2023). MSC: 35Q92 35Q35 92C17 92C15 91D10 76Z05 35A01 35A02 35B40 35K55 35K57 82C40 PDFBibTeX XMLCite \textit{D. Burini} and \textit{N. Chouhad}, Math. Models Methods Appl. Sci. 33, No. 9, 1909--1928 (2023; Zbl 1522.35515) Full Text: DOI arXiv
Zhang, Qingshan; Li, Erhui Stabilization in a chemotaxis-May-Nowak model with exposed state. (English) Zbl 1518.35126 Z. Angew. Math. Phys. 74, No. 4, Paper No. 154, 13 p. (2023). MSC: 35B40 35A09 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{E. Li}, Z. Angew. Math. Phys. 74, No. 4, Paper No. 154, 13 p. (2023; Zbl 1518.35126) Full Text: DOI
Yu, Xue; Zhang, Qingshan Dynamics of a chemotaxis-May-Nowak model with volume filling sensitivity. (English) Zbl 1519.92036 Appl. Math. Lett. 144, Article ID 108692, 7 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 92C17 35Q92 35K55 35B40 PDFBibTeX XMLCite \textit{X. Yu} and \textit{Q. Zhang}, Appl. Math. Lett. 144, Article ID 108692, 7 p. (2023; Zbl 1519.92036) Full Text: DOI
Wang, Jianping; Si, Xin Global solutions to a chemotaxis-May-Nowak model with arbitrary superlinear degradation. (English) Zbl 1516.35189 Discrete Contin. Dyn. Syst., Ser. B 28, No. 10, 5281-5295 (2023). MSC: 35D30 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{J. Wang} and \textit{X. Si}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 10, 5281--5295 (2023; Zbl 1516.35189) Full Text: DOI
Tao, Xueyan; Zhou, Shulin Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity and conversion. (English) Zbl 1516.35091 Discrete Contin. Dyn. Syst., Ser. B 28, No. 10, 5269-5280 (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{X. Tao} and \textit{S. Zhou}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 10, 5269--5280 (2023; Zbl 1516.35091) Full Text: DOI
Wen, Xin Partly inhibiting of blow-up by chemotactic repulsion in a cross-diffusion model for virus infection. (English) Zbl 1516.35095 Discrete Contin. Dyn. Syst., Ser. B 28, No. 10, 5203-5215 (2023). MSC: 35B40 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{X. Wen}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 10, 5203--5215 (2023; Zbl 1516.35095) Full Text: DOI
Shan, Wenhai; Zheng, Pan Global boundedness of the immune chemotaxis system with general kinetic functions. (English) Zbl 1509.35082 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 2, Paper No. 29, 24 p. (2023). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B45 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{W. Shan} and \textit{P. Zheng}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 2, Paper No. 29, 24 p. (2023; Zbl 1509.35082) Full Text: DOI
Zheng, Pan; Shan, Wenhai Global boundedness and stability analysis of the quasilinear immune chemotaxis system. (English) Zbl 1502.35028 J. Differ. Equations 344, 556-607 (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{P. Zheng} and \textit{W. Shan}, J. Differ. Equations 344, 556--607 (2023; Zbl 1502.35028) Full Text: DOI
Burini, D.; Chouhad, N. Virus models in complex frameworks: towards modeling space patterns of SARS-CoV-2 epidemics. (English) Zbl 1518.35591 Math. Models Methods Appl. Sci. 32, No. 10, 2017-2036 (2022). MSC: 35Q92 92D30 92C15 92C17 82C40 35A01 35A02 35B40 35B36 35K55 35K57 91D10 PDFBibTeX XMLCite \textit{D. Burini} and \textit{N. Chouhad}, Math. Models Methods Appl. Sci. 32, No. 10, 2017--2036 (2022; Zbl 1518.35591) Full Text: DOI
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M. Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. (English) Zbl 1497.35039 Math. Models Methods Appl. Sci. 32, No. 4, 713-792 (2022). Reviewer: Lingeshwaran Shangerganesh (Ponda) MSC: 35B36 35B40 35B44 35K51 35K57 35Q35 92C17 91D10 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 32, No. 4, 713--792 (2022; Zbl 1497.35039) Full Text: DOI
Tian, Jialu; Liu, Ping Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis. (English) Zbl 1486.35063 Electron. Res. Arch. 30, No. 3, 929-942 (2022). MSC: 35B40 35K51 35K57 35Q92 PDFBibTeX XMLCite \textit{J. Tian} and \textit{P. Liu}, Electron. Res. Arch. 30, No. 3, 929--942 (2022; Zbl 1486.35063) Full Text: DOI
Alofi, B. S.; Azoz, S. A. Stability of general pathogen dynamic models with two types of infectious transmission with immune impairment. (English) Zbl 1484.92091 AIMS Math. 6, No. 1, 114-140 (2021). MSC: 92D30 PDFBibTeX XMLCite \textit{B. S. Alofi} and \textit{S. A. Azoz}, AIMS Math. 6, No. 1, 114--140 (2021; Zbl 1484.92091) Full Text: DOI
Alade, Taofeek O.; Elaiw, Ahmed M.; Alsulami, Saud M. Stability dynamics of a delayed generalized chikungunya virus infection model. (English) Zbl 1475.92142 J. Appl. Math. Comput. 65, No. 1-2, 575-595 (2021). MSC: 92D30 34D20 34D23 37N25 92C60 PDFBibTeX XMLCite \textit{T. O. Alade} et al., J. Appl. Math. Comput. 65, No. 1--2, 575--595 (2021; Zbl 1475.92142) Full Text: DOI
Alade, Taofeek O.; Abidemi, Afeez; Tunç, Cemil; Ghaleb, Shafeek A. Global stability of generalized within-host Chikungunya virus dynamics models. (English) Zbl 1470.92274 Appl. Appl. Math. 16, No. 1, 139-162 (2021). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{T. O. Alade} et al., Appl. Appl. Math. 16, No. 1, 139--162 (2021; Zbl 1470.92274) Full Text: Link
Pan, Xu; Wang, Liangchen; Hu, Xuegang Boundedness and stabilization of solutions to a chemotaxis May-Nowak model. (English) Zbl 1466.35044 Z. Angew. Math. Phys. 72, No. 2, Paper No. 52, 17 p. (2021). MSC: 35B40 35K51 35K59 35B35 92C17 35Q92 PDFBibTeX XMLCite \textit{X. Pan} et al., Z. Angew. Math. Phys. 72, No. 2, Paper No. 52, 17 p. (2021; Zbl 1466.35044) Full Text: DOI
Tao, Youshan; Winkler, Michael Taxis-driven formation of singular hotspots in a May-Nowak-type model for virus infection. (English) Zbl 1461.35201 SIAM J. Math. Anal. 53, No. 2, 1411-1433 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 92C17 35B44 35K55 92C37 PDFBibTeX XMLCite \textit{Y. Tao} and \textit{M. Winkler}, SIAM J. Math. Anal. 53, No. 2, 1411--1433 (2021; Zbl 1461.35201) Full Text: DOI
Li, Jing; Wang, Yifu Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy. (English) Zbl 1452.35077 J. Differ. Equations 270, 94-113 (2021). Reviewer: Sofiane El-Hadi Miri (Tlemcen) MSC: 35K57 35B45 35Q92 92C17 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Wang}, J. Differ. Equations 270, 94--113 (2021; Zbl 1452.35077) Full Text: DOI
Elaiw, A. M.; Alshaikh, M. A. Stability preserving NSFD scheme for a general virus dynamics model with antibody and cell-mediated responses. (English) Zbl 1490.92079 Chaos Solitons Fractals 138, Article ID 109862, 29 p. (2020). MSC: 92D30 65L05 65L06 PDFBibTeX XMLCite \textit{A. M. Elaiw} and \textit{M. A. Alshaikh}, Chaos Solitons Fractals 138, Article ID 109862, 29 p. (2020; Zbl 1490.92079) Full Text: DOI
Elaiw, A. M.; AlShamrani, N. H. Stability of a general CTL-mediated immunity HIV infection model with silent infected cell-to-cell spread. (English) Zbl 1485.92068 Adv. Difference Equ. 2020, Paper No. 355, 25 p. (2020). MSC: 92C60 92D30 34D23 34K60 92C50 PDFBibTeX XMLCite \textit{A. M. Elaiw} and \textit{N. H. AlShamrani}, Adv. Difference Equ. 2020, Paper No. 355, 25 p. (2020; Zbl 1485.92068) Full Text: DOI
Elaiw, A. M.; AlShamrani, N. H.; Hobiny, A. D. Stability of an adaptive immunity delayed HIV infection model with active and silent cell-to-cell spread. (English) Zbl 1471.92303 Math. Biosci. Eng. 17, No. 6, 6401-6458 (2020). MSC: 92D30 92C32 92C37 35B35 PDFBibTeX XMLCite \textit{A. M. Elaiw} et al., Math. Biosci. Eng. 17, No. 6, 6401--6458 (2020; Zbl 1471.92303) Full Text: DOI
AlShamrani, N. H.; Elaiw, A. M. Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infection. (English) Zbl 1470.92065 Math. Biosci. Eng. 17, No. 1, 575-605 (2020). MSC: 92C32 92C37 34D23 PDFBibTeX XMLCite \textit{N. H. AlShamrani} and \textit{A. M. Elaiw}, Math. Biosci. Eng. 17, No. 1, 575--605 (2020; Zbl 1470.92065) Full Text: DOI
Wu, Chunyan; Xiang, Zhaoyin Asymptotic dynamics on a chemotaxis-Navier-Stokes system with nonlinear diffusion and inhomogeneous boundary conditions. (English) Zbl 1452.35228 Math. Models Methods Appl. Sci. 30, No. 7, 1325-1374 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35Q35 35K55 76S05 35A01 35B40 PDFBibTeX XMLCite \textit{C. Wu} and \textit{Z. Xiang}, Math. Models Methods Appl. Sci. 30, No. 7, 1325--1374 (2020; Zbl 1452.35228) Full Text: DOI
Bellomo, N.; Tao, Y.; Winkler, M. Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. (English) Zbl 1451.92062 Math. Models Methods Appl. Sci. 30, No. 6, 1033-1039 (2020). MSC: 92C17 35Q92 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 30, No. 6, 1033--1039 (2020; Zbl 1451.92062) Full Text: DOI
Alshaikh, M. A.; Elaiw, A. M. Stability of a discrete-time pathogen infection model with adaptive immune response. (English) Zbl 1459.92112 Discrete Dyn. Nat. Soc. 2020, Article ID 1264175, 26 p. (2020). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{M. A. Alshaikh} and \textit{A. M. Elaiw}, Discrete Dyn. Nat. Soc. 2020, Article ID 1264175, 26 p. (2020; Zbl 1459.92112) Full Text: DOI
Elaiw, A. M.; Alshehaiween, S. F.; Hobiny, A. D. Global properties of HIV dynamics models including impairment of B-cell functions. (English) Zbl 1445.92269 J. Biol. Syst. 28, No. 1, 1-25 (2020). MSC: 92D30 92C37 34D23 PDFBibTeX XMLCite \textit{A. M. Elaiw} et al., J. Biol. Syst. 28, No. 1, 1--25 (2020; Zbl 1445.92269) Full Text: DOI
Elaiw, A. M.; AlShamrani, N. H. Impact of adaptive immune response and cellular infection on delayed virus dynamics with multi-stages of infected cells. (English) Zbl 1434.34070 Int. J. Biomath. 13, No. 1, Article ID 2050003, 62 p. (2020). MSC: 34K60 92C60 34K20 34K25 PDFBibTeX XMLCite \textit{A. M. Elaiw} and \textit{N. H. AlShamrani}, Int. J. Biomath. 13, No. 1, Article ID 2050003, 62 p. (2020; Zbl 1434.34070) Full Text: DOI
Elaiw, A. M.; Hobiny, A. D.; Al Agha, A. D. Global dynamics of reaction-diffusion oncolytic M1 virotherapy with immune response. (English) Zbl 1433.35164 Appl. Math. Comput. 367, Article ID 124758, 21 p. (2020). MSC: 35K51 92D30 35Q92 92C50 92C60 35K57 PDFBibTeX XMLCite \textit{A. M. Elaiw} et al., Appl. Math. Comput. 367, Article ID 124758, 21 p. (2020; Zbl 1433.35164) Full Text: DOI
Elaiw, Ahmed M.; Alshehaiween, Safiya F.; Hobiny, Aatef D. Global properties of virus dynamics with B-cell impairment. (English) Zbl 1513.34180 Open Math. 17, 1435-1449 (2019). MSC: 34C60 34D20 34D23 92D30 34C05 92C60 PDFBibTeX XMLCite \textit{A. M. Elaiw} et al., Open Math. 17, 1435--1449 (2019; Zbl 1513.34180) Full Text: DOI
Elaiw, Ahmed M.; Al Agha, Afnan D. Stability of a general HIV-1 reaction-diffusion model with multiple delays and immune response. (English) Zbl 07571520 Physica A 536, Article ID 122593, 20 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{A. M. Elaiw} and \textit{A. D. Al Agha}, Physica A 536, Article ID 122593, 20 p. (2019; Zbl 07571520) Full Text: DOI
Elaiw, A. M.; Al Agha, A. D. Global dynamics of a general diffusive HBV infection model with capsids and adaptive immune response. (English) Zbl 1487.92039 Adv. Difference Equ. 2019, Paper No. 519, 31 p. (2019). MSC: 92D30 92C60 37N25 PDFBibTeX XMLCite \textit{A. M. Elaiw} and \textit{A. D. Al Agha}, Adv. Difference Equ. 2019, Paper No. 519, 31 p. (2019; Zbl 1487.92039) Full Text: DOI
Elaiw, A. M.; Almalki, S. E.; Hobiny, A. D. Global properties of saturated chikungunya virus dynamics models with cellular infection and delays. (English) Zbl 1487.92040 Adv. Difference Equ. 2019, Paper No. 476, 33 p. (2019). MSC: 92D30 92C60 37N25 PDFBibTeX XMLCite \textit{A. M. Elaiw} et al., Adv. Difference Equ. 2019, Paper No. 476, 33 p. (2019; Zbl 1487.92040) Full Text: DOI
Elaiw, A. M.; Alshaikh, M. A. Global stability of discrete virus dynamics models with humoural immunity and latency. (English) Zbl 1448.92286 J. Biol. Dyn. 13, No. 1, 639-674 (2019). MSC: 92D30 34D23 34C11 PDFBibTeX XMLCite \textit{A. M. Elaiw} and \textit{M. A. Alshaikh}, J. Biol. Dyn. 13, No. 1, 639--674 (2019; Zbl 1448.92286) Full Text: DOI
Winkler, Michael Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity. (English) Zbl 1423.35172 Acta Appl. Math. 163, 1-17 (2019). MSC: 35K51 35Q92 92C17 PDFBibTeX XMLCite \textit{M. Winkler}, Acta Appl. Math. 163, 1--17 (2019; Zbl 1423.35172) Full Text: DOI
Elaiw, Ahmed M.; Alshaikh, Matuka A. Stability analysis of a general discrete-time pathogen infection model with humoral immunity. (English) Zbl 1423.39024 J. Difference Equ. Appl. 25, No. 8, 1149-1172 (2019). MSC: 39A60 39A30 37N25 92D30 PDFBibTeX XMLCite \textit{A. M. Elaiw} and \textit{M. A. Alshaikh}, J. Difference Equ. Appl. 25, No. 8, 1149--1172 (2019; Zbl 1423.39024) Full Text: DOI
Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. (English) Zbl 1428.35615 SIAM J. Appl. Math. 79, No. 5, 1990-2010 (2019). MSC: 35Q92 35B40 35K57 92C17 92C15 35B36 35A01 PDFBibTeX XMLCite \textit{N. Bellomo} et al., SIAM J. Appl. Math. 79, No. 5, 1990--2010 (2019; Zbl 1428.35615) Full Text: DOI