Ma, Li; Gao, Jianping; Li, Dong; Lian, Wenyan Dynamics of a delayed Lotka-Volterra competition model with directed dispersal. (English) Zbl 1517.35122 Nonlinear Anal., Real World Appl. 71, Article ID 103830, 30 p. (2023). MSC: 35K57 35K51 92D25 PDFBibTeX XMLCite \textit{L. Ma} et al., Nonlinear Anal., Real World Appl. 71, Article ID 103830, 30 p. (2023; Zbl 1517.35122) Full Text: DOI
Gan, Wenzhen; Shao, Yuan; Wang, Jinbao; Xu, Fangfang Global dynamics of a general competitive reaction-diffusion-advection system in one dimensional environments. (English) Zbl 1486.92157 Nonlinear Anal., Real World Appl. 66, Article ID 103523, 9 p. (2022). MSC: 92D25 35K57 92D40 35B35 35K61 PDFBibTeX XMLCite \textit{W. Gan} et al., Nonlinear Anal., Real World Appl. 66, Article ID 103523, 9 p. (2022; Zbl 1486.92157) Full Text: DOI
Jiang, Danhua; Lam, King-Yeung; Lou, Yuan Competitive exclusion in a nonlocal reaction-diffusion-advection model of phytoplankton populations. (English) Zbl 1481.35056 Nonlinear Anal., Real World Appl. 61, Article ID 103350, 15 p. (2021). MSC: 35B40 35K57 35J25 35P15 35R09 92D25 PDFBibTeX XMLCite \textit{D. Jiang} et al., Nonlinear Anal., Real World Appl. 61, Article ID 103350, 15 p. (2021; Zbl 1481.35056) Full Text: DOI
Shi, Yao; Wu, Jianhua; Cao, Qian Analysis on a diffusive multiple Allee effects predator-prey model induced by fear factors. (English) Zbl 1464.35018 Nonlinear Anal., Real World Appl. 59, Article ID 103249, 19 p. (2021). MSC: 35B32 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{Y. Shi} et al., Nonlinear Anal., Real World Appl. 59, Article ID 103249, 19 p. (2021; Zbl 1464.35018) Full Text: DOI
Wang, Yan’e; Nie, Hua; Wu, Jianhua Coexistence and bistability of a competition model with mixed dispersal strategy. (English) Zbl 1451.35070 Nonlinear Anal., Real World Appl. 56, Article ID 103175, 19 p. (2020). MSC: 35K57 92D25 35R60 35K51 PDFBibTeX XMLCite \textit{Y. Wang} et al., Nonlinear Anal., Real World Appl. 56, Article ID 103175, 19 p. (2020; Zbl 1451.35070) Full Text: DOI
Wei, Xi; Wei, Guangsheng; Wang, Feng-Bin; Nie, Hua Dynamics and steady-state analysis of an unstirred chemostat model with internal storage and toxin mortality. (English) Zbl 1439.35279 Nonlinear Anal., Real World Appl. 52, Article ID 103044, 31 p. (2020). MSC: 35K57 35Q92 92D25 PDFBibTeX XMLCite \textit{X. Wei} et al., Nonlinear Anal., Real World Appl. 52, Article ID 103044, 31 p. (2020; Zbl 1439.35279) Full Text: DOI
Krzyżanowski, Piotr; Winkler, Michael; Wrzosek, Dariusz Migration-driven benefit in a two-species nutrient taxis system. (English) Zbl 1425.92033 Nonlinear Anal., Real World Appl. 48, 94-116 (2019). MSC: 92C17 92D40 35Q92 PDFBibTeX XMLCite \textit{P. Krzyżanowski} et al., Nonlinear Anal., Real World Appl. 48, 94--116 (2019; Zbl 1425.92033) Full Text: DOI arXiv
Xu, Fangfang; Gan, Wenzhen On a Lotka-Volterra type competition model from river ecology. (English) Zbl 1408.92024 Nonlinear Anal., Real World Appl. 47, 373-384 (2019). MSC: 92D25 92D40 92D15 34D23 PDFBibTeX XMLCite \textit{F. Xu} and \textit{W. Gan}, Nonlinear Anal., Real World Appl. 47, 373--384 (2019; Zbl 1408.92024) Full Text: DOI
Zheng, Pan; Mu, Chunlai; Hu, Xuegang Global dynamics for an attraction-repulsion chemotaxis-(Navier)-Stokes system with logistic source. (English) Zbl 1420.35445 Nonlinear Anal., Real World Appl. 45, 557-580 (2019). MSC: 35Q92 92C17 92C37 76D05 35A09 35A01 PDFBibTeX XMLCite \textit{P. Zheng} et al., Nonlinear Anal., Real World Appl. 45, 557--580 (2019; Zbl 1420.35445) Full Text: DOI
Chen, Shanshan; Wei, Junjie; Yu, Jinzhu Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response. (English) Zbl 1379.35113 Nonlinear Anal., Real World Appl. 39, 33-57 (2018). MSC: 35J60 35K57 92D25 PDFBibTeX XMLCite \textit{S. Chen} et al., Nonlinear Anal., Real World Appl. 39, 33--57 (2018; Zbl 1379.35113) Full Text: DOI arXiv
Yuan, Hailong; Zhang, Conghui; Li, Yanling Existence and stability of coexistence states in a competition unstirred chemostat. (English) Zbl 1515.35126 Nonlinear Anal., Real World Appl. 35, 441-456 (2017). MSC: 35K51 35B35 35K57 92D25 PDFBibTeX XMLCite \textit{H. Yuan} et al., Nonlinear Anal., Real World Appl. 35, 441--456 (2017; Zbl 1515.35126) Full Text: DOI
Mukherjee, Debasis The effect of refuge and immigration in a predator-prey system in the presence of a competitor for the prey. (English) Zbl 1354.34087 Nonlinear Anal., Real World Appl. 31, 277-287 (2016). Reviewer: Yuriy V. Rogovchenko (Kristiansand) MSC: 34C60 92D25 34D20 34C23 34C05 PDFBibTeX XMLCite \textit{D. Mukherjee}, Nonlinear Anal., Real World Appl. 31, 277--287 (2016; Zbl 1354.34087) Full Text: DOI
Wang, Feng-Bin A PDE system modeling the competition and inhibition of harmful algae with seasonal variations. (English) Zbl 1327.35380 Nonlinear Anal., Real World Appl. 25, 258-275 (2015). MSC: 35Q92 35K57 PDFBibTeX XMLCite \textit{F.-B. Wang}, Nonlinear Anal., Real World Appl. 25, 258--275 (2015; Zbl 1327.35380) Full Text: DOI
Nie, Hua; Liu, Na; Wu, Jianhua Coexistence solutions and their stability of an unstirred chemostat model with toxins. (English) Zbl 1295.35067 Nonlinear Anal., Real World Appl. 20, 36-51 (2014). MSC: 35B35 92C17 35B32 35K51 PDFBibTeX XMLCite \textit{H. Nie} et al., Nonlinear Anal., Real World Appl. 20, 36--51 (2014; Zbl 1295.35067) Full Text: DOI
Korobenko, L.; Braverman, E. On logistic models with a carrying capacity dependent diffusion: stability of equilibria and coexistence with a regularly diffusing population. (English) Zbl 1257.35106 Nonlinear Anal., Real World Appl. 13, No. 6, 2648-2658 (2012). MSC: 35K51 35K58 92D25 PDFBibTeX XMLCite \textit{L. Korobenko} and \textit{E. Braverman}, Nonlinear Anal., Real World Appl. 13, No. 6, 2648--2658 (2012; Zbl 1257.35106) Full Text: DOI
Yuan, Sanling; Zhang, Tonghua Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling. (English) Zbl 1327.92052 Nonlinear Anal., Real World Appl. 13, No. 5, 2104-2119 (2012). MSC: 92D25 34K20 34K25 PDFBibTeX XMLCite \textit{S. Yuan} and \textit{T. Zhang}, Nonlinear Anal., Real World Appl. 13, No. 5, 2104--2119 (2012; Zbl 1327.92052) Full Text: DOI
Robledo, Gonzalo; Grognard, Frédéric; Gouzé, Jean-Luc Global stability for a model of competition in the chemostat with microbial inputs. (English) Zbl 1238.34109 Nonlinear Anal., Real World Appl. 13, No. 2, 582-598 (2012). MSC: 34D23 92D40 PDFBibTeX XMLCite \textit{G. Robledo} et al., Nonlinear Anal., Real World Appl. 13, No. 2, 582--598 (2012; Zbl 1238.34109) Full Text: DOI
Guo, Hongbin; Li, Michael Y. Global dynamics of a staged-progression model for HIV/AIDS with amelioration. (English) Zbl 1225.34052 Nonlinear Anal., Real World Appl. 12, No. 5, 2529-2540 (2011). MSC: 34C60 92C60 34D20 PDFBibTeX XMLCite \textit{H. Guo} and \textit{M. Y. Li}, Nonlinear Anal., Real World Appl. 12, No. 5, 2529--2540 (2011; Zbl 1225.34052) Full Text: DOI
Bhattacharyya, J.; Pal, S. Coexistence of competing predators in a coral reef ecosystem. (English) Zbl 1203.92059 Nonlinear Anal., Real World Appl. 12, No. 2, 965-978 (2011). MSC: 92D40 34D20 65C20 37N25 34C60 PDFBibTeX XMLCite \textit{J. Bhattacharyya} and \textit{S. Pal}, Nonlinear Anal., Real World Appl. 12, No. 2, 965--978 (2011; Zbl 1203.92059) Full Text: DOI
Agarwal, Manju; Devi, Sapna A resource-dependent competition model: effects of toxicants emitted from external sources as well as formed by precursors of competing species. (English) Zbl 1209.34052 Nonlinear Anal., Real World Appl. 12, No. 1, 751-766 (2011). MSC: 34C60 92D25 34D05 34D20 PDFBibTeX XMLCite \textit{M. Agarwal} and \textit{S. Devi}, Nonlinear Anal., Real World Appl. 12, No. 1, 751--766 (2011; Zbl 1209.34052) Full Text: DOI
Zou, Lan; Chen, Xingwu; Ruan, Shigui; Zhang, Weinian Dynamics of a model of allelopathy and bacteriocin with a single mutation. (English) Zbl 1209.34061 Nonlinear Anal., Real World Appl. 12, No. 1, 658-670 (2011). MSC: 34C60 92D25 PDFBibTeX XMLCite \textit{L. Zou} et al., Nonlinear Anal., Real World Appl. 12, No. 1, 658--670 (2011; Zbl 1209.34061) Full Text: DOI Link
Meng, Xinzhu; Gao, Qian; Li, Zhenqing The effects of delayed growth response on the dynamic behaviors of the Monod type chemostat model with impulsive input nutrient concentration. (English) Zbl 1213.34098 Nonlinear Anal., Real World Appl. 11, No. 5, 4476-4486 (2010). Reviewer: Eva Sanchez (Madrid) MSC: 34K60 34K45 34K25 92D25 PDFBibTeX XMLCite \textit{X. Meng} et al., Nonlinear Anal., Real World Appl. 11, No. 5, 4476--4486 (2010; Zbl 1213.34098) Full Text: DOI
Nie, Hua; Wu, Jianhua Coexistence of an unstirred chemostat model with Beddington-DeAngelis functional response and inhibitor. (English) Zbl 1203.35128 Nonlinear Anal., Real World Appl. 11, No. 5, 3639-3652 (2010). MSC: 35K51 35K58 35B32 PDFBibTeX XMLCite \textit{H. Nie} and \textit{J. Wu}, Nonlinear Anal., Real World Appl. 11, No. 5, 3639--3652 (2010; Zbl 1203.35128) Full Text: DOI
Dubey, B.; Narayanan, A. S. Modelling effects of industrialization, population and pollution on a renewable resource. (English) Zbl 1197.34071 Nonlinear Anal., Real World Appl. 11, No. 4, 2833-2848 (2010). MSC: 34C60 92D25 92D40 PDFBibTeX XMLCite \textit{B. Dubey} and \textit{A. S. Narayanan}, Nonlinear Anal., Real World Appl. 11, No. 4, 2833--2848 (2010; Zbl 1197.34071) Full Text: DOI
Sinha, Sudipa; Misra, O. P.; Dhar, Joydip A two species competition model under the simultaneous effect of toxicant and disease. (English) Zbl 1179.92067 Nonlinear Anal., Real World Appl. 11, No. 2, 1131-1142 (2010). MSC: 92D40 92D30 34D05 34D23 65C60 PDFBibTeX XMLCite \textit{S. Sinha} et al., Nonlinear Anal., Real World Appl. 11, No. 2, 1131--1142 (2010; Zbl 1179.92067) Full Text: DOI
Jiao, Jianjun; Long, Wen; Chen, Lansun A single stage-structured population model with mature individuals in a polluted environment and pulse input of environmental toxin. (English) Zbl 1162.92330 Nonlinear Anal., Real World Appl. 10, No. 5, 3073-3081 (2009). MSC: 92D40 34D23 34C60 92D25 34A37 34C25 34D05 PDFBibTeX XMLCite \textit{J. Jiao} et al., Nonlinear Anal., Real World Appl. 10, No. 5, 3073--3081 (2009; Zbl 1162.92330) Full Text: DOI
He, Jiwei; Wang, Ke The survival analysis for a population in a polluted environment. (English) Zbl 1160.92041 Nonlinear Anal., Real World Appl. 10, No. 3, 1555-1571 (2009). MSC: 92D40 34C60 37N25 PDFBibTeX XMLCite \textit{J. He} and \textit{K. Wang}, Nonlinear Anal., Real World Appl. 10, No. 3, 1555--1571 (2009; Zbl 1160.92041) Full Text: DOI
Tagashira, Osamu Permanent coexistence in chemostat models with delayed feedback control. (English) Zbl 1162.34334 Nonlinear Anal., Real World Appl. 10, No. 3, 1443-1452 (2009). MSC: 34D20 PDFBibTeX XMLCite \textit{O. Tagashira}, Nonlinear Anal., Real World Appl. 10, No. 3, 1443--1452 (2009; Zbl 1162.34334) Full Text: DOI
Yuan, Sanling; Zhang, Weiguo; Han, Maoan Global asymptotic behavior in chemostat-type competition models with delay. (English) Zbl 1162.34335 Nonlinear Anal., Real World Appl. 10, No. 3, 1305-1320 (2009). MSC: 34D20 PDFBibTeX XMLCite \textit{S. Yuan} et al., Nonlinear Anal., Real World Appl. 10, No. 3, 1305--1320 (2009; Zbl 1162.34335) Full Text: DOI
Nie, Hua; Zhang, Hongwei; Wu, Jianhua Characterization of positive solutions of the unstirred chemostat with an inhibitor. (English) Zbl 1146.35383 Nonlinear Anal., Real World Appl. 9, No. 3, 1078-1089 (2008). MSC: 35K57 35B35 35Q80 92D25 35K50 35B05 35B32 PDFBibTeX XMLCite \textit{H. Nie} et al., Nonlinear Anal., Real World Appl. 9, No. 3, 1078--1089 (2008; Zbl 1146.35383) Full Text: DOI
Rapaport, A.; Harmand, J.; Mazenc, F. Coexistence in the design of a series of two chemostats. (English) Zbl 1139.92319 Nonlinear Anal., Real World Appl. 9, No. 3, 1052-1067 (2008). MSC: 92D40 34C60 37N25 34A12 PDFBibTeX XMLCite \textit{A. Rapaport} et al., Nonlinear Anal., Real World Appl. 9, No. 3, 1052--1067 (2008; Zbl 1139.92319) Full Text: DOI
Huang, Xuncheng; Zhu, Lemin; Chang, Edward H. C. Limit cycles in a chemostat with general variable yields and growth rates. (English) Zbl 1115.34042 Nonlinear Anal., Real World Appl. 8, No. 1, 165-173 (2007). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 34C05 34C23 92D25 PDFBibTeX XMLCite \textit{X. Huang} et al., Nonlinear Anal., Real World Appl. 8, No. 1, 165--173 (2007; Zbl 1115.34042) Full Text: DOI
Huang, Xuncheng; Zhu, Lemin; Chang, Edward H. C. The 3-D Hopf bifurcation in bio-reactor when one competitor produces a toxin. (English) Zbl 1116.34041 Nonlinear Anal., Real World Appl. 7, No. 5, 1167-1177 (2006). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 92D25 34C25 34C23 PDFBibTeX XMLCite \textit{X. Huang} et al., Nonlinear Anal., Real World Appl. 7, No. 5, 1167--1177 (2006; Zbl 1116.34041) Full Text: DOI
Dubey, B.; Hussain, J. Modelling the survival of species dependent on a resource in a polluted environment. (English) Zbl 1088.92054 Nonlinear Anal., Real World Appl. 7, No. 2, 187-210 (2006). MSC: 92D40 34D23 35B35 35K57 34D05 PDFBibTeX XMLCite \textit{B. Dubey} and \textit{J. Hussain}, Nonlinear Anal., Real World Appl. 7, No. 2, 187--210 (2006; Zbl 1088.92054) Full Text: DOI
Zhang, Linghai Positive steady states of an elliptic system arising from biomathematics. (English) Zbl 1124.35018 Nonlinear Anal., Real World Appl. 6, No. 1, 83-110 (2005). MSC: 35J55 35K50 92C17 PDFBibTeX XMLCite \textit{L. Zhang}, Nonlinear Anal., Real World Appl. 6, No. 1, 83--110 (2005; Zbl 1124.35018) Full Text: DOI
Dubey, B.; Hussain, J. Nonlinear models for the survival of two competing species dependent on resource in industrial environments. (English) Zbl 1019.92032 Nonlinear Anal., Real World Appl. 4, No. 1, 21-44 (2003). MSC: 92D40 35Q92 35K35 35B35 PDFBibTeX XMLCite \textit{B. Dubey} and \textit{J. Hussain}, Nonlinear Anal., Real World Appl. 4, No. 1, 21--44 (2003; Zbl 1019.92032) Full Text: DOI
Büger, Matthias The evolution of fast reaction: a reaction-diffusion model. (English) Zbl 1015.92030 Nonlinear Anal., Real World Appl. 3, No. 4, 543-554 (2002). MSC: 92D15 35K57 35Q92 PDFBibTeX XMLCite \textit{M. Büger}, Nonlinear Anal., Real World Appl. 3, No. 4, 543--554 (2002; Zbl 1015.92030) Full Text: DOI
Gard, Thomas C. A new Liapunov function for the simple chemostat. (English) Zbl 1007.92034 Nonlinear Anal., Real World Appl. 3, No. 2, 211-226 (2002). MSC: 92D40 34D20 PDFBibTeX XMLCite \textit{T. C. Gard}, Nonlinear Anal., Real World Appl. 3, No. 2, 211--226 (2002; Zbl 1007.92034) Full Text: DOI
Smith, H. L.; Waltman, Paul Competition in the periodic gradostat. (English) Zbl 1004.92036 Nonlinear Anal., Real World Appl. 1, No. 1, 177-188 (2000). MSC: 92D40 37N25 PDFBibTeX XMLCite \textit{H. L. Smith} and \textit{P. Waltman}, Nonlinear Anal., Real World Appl. 1, No. 1, 177--188 (2000; Zbl 1004.92036) Full Text: DOI