Kurt, Halil Ibrahim; Shen, Wenxian Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics. (English) Zbl 07818409 Discrete Contin. Dyn. Syst. 44, No. 4, 882-904 (2024). MSC: 35K51 35K57 35M33 35Q92 92C17 92D25 PDFBibTeX XMLCite \textit{H. I. Kurt} and \textit{W. Shen}, Discrete Contin. Dyn. Syst. 44, No. 4, 882--904 (2024; Zbl 07818409) Full Text: DOI
Li, Yunxi; Mu, Chunlai; Pan, Xu Boundedness and asymptotic stability in a predator-prey system with density-dependent motilities. (English) Zbl 07815396 Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2192-2212 (2024). MSC: 35B40 35K51 35K59 92C17 92D25 PDFBibTeX XMLCite \textit{Y. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2192--2212 (2024; Zbl 07815396) Full Text: DOI
Zhou, Xing; Ren, Guoqiang Global existence and asymptotic behavior in a two-species chemotaxis system with signal production. (English) Zbl 07807491 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1771-1797 (2024). MSC: 92C17 35D30 35Q92 35B40 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{G. Ren}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1771--1797 (2024; Zbl 07807491) Full Text: DOI
Yang, Li; Xu, Lu; Pan, Xu Improvement of conditions for global boundedness in a predator-prey system with pursuit-evasion interaction. (English) Zbl 07805426 Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1187-1205 (2024). MSC: 35A09 35K51 35K57 92C17 PDFBibTeX XMLCite \textit{L. Yang} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1187--1205 (2024; Zbl 07805426) Full Text: DOI
Zhang, Haowen; Zheng, Pan Boundedness and stabilization in a three-species chemotaxis-competition system. (English) Zbl 07802017 J. Math. Anal. Appl. 534, No. 1, Article ID 128046, 30 p. (2024). Reviewer: Chunhua Jin (Guangzhou) MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{P. Zheng}, J. Math. Anal. Appl. 534, No. 1, Article ID 128046, 30 p. (2024; Zbl 07802017) Full Text: DOI
Gnanasekaran, S.; Nithyadevi, N.; Udhayashankar, C. Global existence and asymptotic behavior of a predator-prey chemotaxis system with inter-species interaction coefficients. (English) Zbl 1527.35067 J. Differ. Equations 378, 264-302 (2024). MSC: 35B40 35A09 35K51 35K59 92C17 37N25 65N06 PDFBibTeX XMLCite \textit{S. Gnanasekaran} et al., J. Differ. Equations 378, 264--302 (2024; Zbl 1527.35067) Full Text: DOI
Ou, Houzuo; Wang, Liangchen Boundedness in a two-species chemotaxis system with nonlinear resource consumption. (English) Zbl 1527.92013 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 14, 16 p. (2024). Reviewer: Pan Zheng (Chongqing) MSC: 92C17 35K35 35Q92 PDFBibTeX XMLCite \textit{H. Ou} and \textit{L. Wang}, Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 14, 16 p. (2024; Zbl 1527.92013) Full Text: DOI
Liu, Chao; Liu, Bin Boundedness and asymptotic behavior in a quasilinear two-species chemotaxis system with loop. (English) Zbl 1512.35084 Commun. Pure Appl. Anal. 22, No. 4, 1239-1270 (2023). MSC: 35B40 35A01 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{C. Liu} and \textit{B. Liu}, Commun. Pure Appl. Anal. 22, No. 4, 1239--1270 (2023; Zbl 1512.35084) Full Text: DOI
Kurt, Halil Ibrahim; Shen, Wenxian Two-species chemotaxis-competition system with singular sensitivity: global existence, boundedness, and persistence. (English) Zbl 1517.35045 J. Differ. Equations 355, 248-295 (2023). Reviewer: Lingeshwaran Shangerganesh (Ponda) MSC: 35B40 35K51 35K57 92C17 92D25 PDFBibTeX XMLCite \textit{H. I. Kurt} and \textit{W. Shen}, J. Differ. Equations 355, 248--295 (2023; Zbl 1517.35045) Full Text: DOI arXiv
Pan, Xu; Mu, Chunlai; Tao, Weirun On the strongly competitive case in a fully parabolic two-species chemotaxis system with Lotka-Volterra competitive kinetics. (English) Zbl 1515.35053 J. Differ. Equations 354, 90-132 (2023). Reviewer: Christian Stinner (Darmstadt) MSC: 35B40 35K51 35K59 92C17 35A01 PDFBibTeX XMLCite \textit{X. Pan} et al., J. Differ. Equations 354, 90--132 (2023; Zbl 1515.35053) Full Text: DOI
Yang, Hongying; Tu, Xinyu; Yang, Li Global solvability and asymptotic behavior in a two-species chemotaxis system with two chemicals. (English) Zbl 07775946 Math. Methods Appl. Sci. 45, No. 12, 7663-7684 (2022). MSC: 92C17 35D30 35B40 35Q92 PDFBibTeX XMLCite \textit{H. Yang} et al., Math. Methods Appl. Sci. 45, No. 12, 7663--7684 (2022; Zbl 07775946) Full Text: DOI
Yang, Hongying; Qiu, Shuyan; Xu, Lu Global weak solution in a fully parabolic two-species chemotaxis system with slow \(p\)-Laplacian diffusion. (English) Zbl 1505.92029 Z. Angew. Math. Phys. 73, No. 6, Paper No. 256, 17 p. (2022). MSC: 92C17 35K55 35D30 35K92 PDFBibTeX XMLCite \textit{H. Yang} et al., Z. Angew. Math. Phys. 73, No. 6, Paper No. 256, 17 p. (2022; Zbl 1505.92029) Full Text: DOI
Ma, Yu; Mu, Chunlai; Qiu, Shuyan Boundedness and asymptotic stability in a two-species predator-prey chemotaxis model. (English) Zbl 1500.35045 Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 4077-4095 (2022). MSC: 35B40 35K51 35K59 92C17 92D25 PDFBibTeX XMLCite \textit{Y. Ma} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 4077--4095 (2022; Zbl 1500.35045) Full Text: DOI
Shanmugasundaram, Gnanasekaran; Arumugam, Gurusamy; Erhardt, André H.; Nagarajan, Nithyadevi Global existence of solutions to a two-species predator-prey parabolic chemotaxis system. (English) Zbl 1498.92035 Int. J. Biomath. 15, No. 8, Article ID 2250054, 22 p. (2022). MSC: 92C17 35A09 35K99 PDFBibTeX XMLCite \textit{G. Shanmugasundaram} et al., Int. J. Biomath. 15, No. 8, Article ID 2250054, 22 p. (2022; Zbl 1498.92035) Full Text: DOI
Ye, Xiaobing; Wang, Liangchen Boundedness and asymptotic stability in a chemotaxis model with indirect signal production and logistic source. (English) Zbl 1498.92039 Electron. J. Differ. Equ. 2022, Paper No. 58, 17 p. (2022). MSC: 92C17 35K35 35B35 PDFBibTeX XMLCite \textit{X. Ye} and \textit{L. Wang}, Electron. J. Differ. Equ. 2022, Paper No. 58, 17 p. (2022; Zbl 1498.92039) Full Text: Link
Qiu, Shuyan; Mu, Chunlai; Yi, Hong Boundedness and asymptotic stability in a predator-prey chemotaxis system with indirect pursuit-evasion dynamics. (English) Zbl 1513.35295 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1035-1057 (2022). MSC: 35K35 35K55 35B35 92C17 PDFBibTeX XMLCite \textit{S. Qiu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1035--1057 (2022; Zbl 1513.35295) Full Text: DOI
Liu, Chao; Liu, Bin Boundedness in a quasilinear two-species chemotaxis system with nonlinear sensitivity and nonlinear signal secretion. (English) Zbl 1486.35087 J. Differ. Equations 320, 206-246 (2022). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B45 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{C. Liu} and \textit{B. Liu}, J. Differ. Equations 320, 206--246 (2022; Zbl 1486.35087) Full Text: DOI
Pan, Xu; Wang, Liangchen On a quasilinear fully parabolic two-species chemotaxis system with two chemicals. (English) Zbl 1480.92035 Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 361-391 (2022). MSC: 92C17 35K35 35A01 35B35 PDFBibTeX XMLCite \textit{X. Pan} and \textit{L. Wang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 361--391 (2022; Zbl 1480.92035) Full Text: DOI
Arumugam, Gurusamy; Shanmugasundaram, Gnanasekaran; Nagarajan, Nithyadevi Fully parabolic chemotaxis-competition system with loop and signal dependent sensitivity. (English) Zbl 1479.35009 J. Elliptic Parabol. Equ. 7, No. 2, 727-746 (2021). MSC: 35A09 35K51 35K59 92C17 92D25 PDFBibTeX XMLCite \textit{G. Arumugam} et al., J. Elliptic Parabol. Equ. 7, No. 2, 727--746 (2021; Zbl 1479.35009) Full Text: DOI
Zhang, Rong; Wang, Liangchen Global dynamics in a competitive two-species and two-stimuli chemotaxis system with chemical signalling loop. (English) Zbl 1478.92035 Electron. Res. Arch. 29, No. 6, 4297-4314 (2021). MSC: 92C17 35K35 35B35 PDFBibTeX XMLCite \textit{R. Zhang} and \textit{L. Wang}, Electron. Res. Arch. 29, No. 6, 4297--4314 (2021; Zbl 1478.92035) Full Text: DOI
Wang, Liangchen; Ye, Xiaobing; Zhang, Rong Boundedness and stabilization in a two-species and two-stimuli chemotaxis system with signaling loop. (English) Zbl 1475.92036 Acta Appl. Math. 175, Paper No. 15, 26 p. (2021). MSC: 92C17 35K35 35B35 PDFBibTeX XMLCite \textit{L. Wang} et al., Acta Appl. Math. 175, Paper No. 15, 26 p. (2021; Zbl 1475.92036) Full Text: DOI
Pan, Xu; Wang, Liangchen Boundedness and asymptotic stability in a quasilinear two-species chemotaxis system with nonlinear signal production. (English) Zbl 1475.92035 Commun. Pure Appl. Anal. 20, No. 6, 2211-2236 (2021). MSC: 92C17 35K35 35B35 PDFBibTeX XMLCite \textit{X. Pan} and \textit{L. Wang}, Commun. Pure Appl. Anal. 20, No. 6, 2211--2236 (2021; Zbl 1475.92035) Full Text: DOI
Ren, Guoqiang; Liu, Bin Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka-Volterra competitive kinetics. (English) Zbl 1512.35091 Math. Models Methods Appl. Sci. 31, No. 5, 941-978 (2021). MSC: 35B40 35D30 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{G. Ren} and \textit{B. Liu}, Math. Models Methods Appl. Sci. 31, No. 5, 941--978 (2021; Zbl 1512.35091) Full Text: DOI
Tu, Xinyu; Tang, Chun-Lei; Qiu, Shuyan The phenomenon of large population densities in a chemotaxis competition system with loop. (English) Zbl 1470.35082 J. Evol. Equ. 21, No. 2, 1717-1754 (2021). MSC: 35B44 35K51 35K59 92C17 92D25 PDFBibTeX XMLCite \textit{X. Tu} et al., J. Evol. Equ. 21, No. 2, 1717--1754 (2021; Zbl 1470.35082) Full Text: DOI
Pan, Xu; Wang, Liangchen Boundedness in a two-species chemotaxis system with nonlinear sensitivity and signal secretion. (English) Zbl 1462.35417 J. Math. Anal. Appl. 500, No. 1, Article ID 125078, 28 p. (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K51 35B40 PDFBibTeX XMLCite \textit{X. Pan} and \textit{L. Wang}, J. Math. Anal. Appl. 500, No. 1, Article ID 125078, 28 p. (2021; Zbl 1462.35417) Full Text: DOI
Yang, Hongying; Tu, Xinyu; Mu, Chunlai Property of the large densities in a two-species and two-stimuli chemotaxis system with competitive kinetics. (English) Zbl 1460.92034 J. Math. Anal. Appl. 499, No. 2, Article ID 125066, 23 p. (2021). Reviewer: Piotr Biler (Wrocław) MSC: 92C17 35Q92 35B40 PDFBibTeX XMLCite \textit{H. Yang} et al., J. Math. Anal. Appl. 499, No. 2, Article ID 125066, 23 p. (2021; Zbl 1460.92034) Full Text: DOI
Li, Dong; He, Xiaolong; Li, Xinping; Guo, Shangjiang Traveling wavefronts in a two-species chemotaxis model with Lotka-Volterra competitive kinetics. (English) Zbl 1458.92016 Appl. Math. Lett. 114, Article ID 106905, 8 p. (2021). Reviewer: Piotr Biler (Wrocław) MSC: 92C17 35Q92 35C07 PDFBibTeX XMLCite \textit{D. Li} et al., Appl. Math. Lett. 114, Article ID 106905, 8 p. (2021; Zbl 1458.92016) Full Text: DOI
Wang, Liangchen; Mu, Chunlai A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals. (English) Zbl 1465.35064 Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4585-4601 (2020). MSC: 35B40 35K51 35K59 35B44 35B35 92C17 PDFBibTeX XMLCite \textit{L. Wang} and \textit{C. Mu}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4585--4601 (2020; Zbl 1465.35064) Full Text: DOI
Tu, Xinyu; Mu, Chunlai; Qiu, Shuyan; Yang, Li Boundedness in the higher-dimensional fully parabolic chemotaxis-competition system with loop. (English) Zbl 1461.35125 Z. Angew. Math. Phys. 71, No. 6, Paper No. 185, 17 p. (2020). Reviewer: Neng Zhu (Nanchang) MSC: 35K51 35K57 92C17 35K59 92D25 PDFBibTeX XMLCite \textit{X. Tu} et al., Z. Angew. Math. Phys. 71, No. 6, Paper No. 185, 17 p. (2020; Zbl 1461.35125) Full Text: DOI
Wang, Liangchen; Wei, Yujie A new result for asymptotic stability in a two-species chemotaxis model with signal-dependent sensitivity. (English) Zbl 1439.35074 Appl. Math. Lett. 106, Article ID 106367, 6 p. (2020). MSC: 35B40 35K51 35K58 92C17 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Y. Wei}, Appl. Math. Lett. 106, Article ID 106367, 6 p. (2020; Zbl 1439.35074) Full Text: DOI
Pan, Xu; Wang, Liangchen; Zhang, Jing; Wang, Jie Boundedness in a three-dimensional two-species chemotaxis system with two chemicals. (English) Zbl 1431.35059 Z. Angew. Math. Phys. 71, No. 1, Paper No. 26, 15 p. (2020). MSC: 35K35 35A01 35B44 35B35 92C17 35Q92 PDFBibTeX XMLCite \textit{X. Pan} et al., Z. Angew. Math. Phys. 71, No. 1, Paper No. 26, 15 p. (2020; Zbl 1431.35059) Full Text: DOI
Wang, Liangchen Improvement of conditions for boundedness in a two-species chemotaxis competition system of parabolic-parabolic-elliptic type. (English) Zbl 1475.35065 J. Math. Anal. Appl. 484, No. 1, Article ID 123705, 10 p. (2020). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{L. Wang}, J. Math. Anal. Appl. 484, No. 1, Article ID 123705, 10 p. (2020; Zbl 1475.35065) Full Text: DOI
Wang, Liangchen; Zhang, Jing; Mu, Chunlai; Hu, Xuegang Boundedness and stabilization in a two-species chemotaxis system with two chemicals. (English) Zbl 1426.35133 Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 191-221 (2020). MSC: 35K35 35Q92 35A01 35B44 35B35 92C17 PDFBibTeX XMLCite \textit{L. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 191--221 (2020; Zbl 1426.35133) Full Text: DOI