Alalhareth, Fawaz K.; Mendez, Ana Clarisa; Kojouharov, Hristo V. A simple model of nutrient recycling and dormancy in a chemostat: mathematical analysis and a second-order nonstandard finite difference method. (English) Zbl 07822406 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107940, 16 p. (2024). MSC: 65L12 92E99 PDFBibTeX XMLCite \textit{F. K. Alalhareth} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107940, 16 p. (2024; Zbl 07822406) Full Text: DOI
Wang, Liang; Jiang, Daqing; Feng, Tao Threshold dynamics in a stochastic chemostat model under regime switching. (English) Zbl 07562495 Physica A 599, Article ID 127454, 16 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{L. Wang} et al., Physica A 599, Article ID 127454, 16 p. (2022; Zbl 07562495) Full Text: DOI
Liu, Haicheng; Ge, Bin; Chen, Jiaqi; Liang, Qiyuan Dynamics in a diffusive plankton system with time delay and Tissiet functional response. (English) Zbl 1486.92171 J. Appl. Math. Comput. 68, No. 2, 1313-1334 (2022). MSC: 92D25 35B32 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Appl. Math. Comput. 68, No. 2, 1313--1334 (2022; Zbl 1486.92171) Full Text: DOI
Tao, Yiwen; Campbell, Sue Ann; Poulin, Francis J. Dynamics of a diffusive nutrient-phytoplankton-zooplankton model with spatio-temporal delay. (English) Zbl 1483.35292 SIAM J. Appl. Math. 81, No. 6, 2405-2432 (2021). MSC: 35Q92 35K57 35B35 35B32 35R07 35A01 35A02 92C80 92D40 92D25 PDFBibTeX XMLCite \textit{Y. Tao} et al., SIAM J. Appl. Math. 81, No. 6, 2405--2432 (2021; Zbl 1483.35292) Full Text: DOI
Cao, Zhongwei; Wen, Xiangdan; Su, Huishuang; Liu, Liya; Ma, Qiang Stationary distribution of a stochastic chemostat model with Beddington-DeAngelis functional response. (English) Zbl 07528404 Physica A 554, Article ID 124634, 11 p. (2020). MSC: 82-XX PDFBibTeX XMLCite \textit{Z. Cao} et al., Physica A 554, Article ID 124634, 11 p. (2020; Zbl 07528404) Full Text: DOI
Jiang, Zhichao; Guo, Yanfen Hopf bifurcation and stability crossing curve in a planktonic resource-consumer system with double delays. (English) Zbl 1455.37073 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 13, Article ID 2050190, 20 p. (2020). MSC: 37N25 92D25 92D40 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{Y. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 13, Article ID 2050190, 20 p. (2020; Zbl 1455.37073) Full Text: DOI
Yu, Xingwang; Yuan, Sanling Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation. (English) Zbl 1443.34093 Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2373-2390 (2020). MSC: 34K60 34K20 34K50 34K25 34K27 92D25 60J70 PDFBibTeX XMLCite \textit{X. Yu} and \textit{S. Yuan}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2373--2390 (2020; Zbl 1443.34093) Full Text: DOI
Zhang, Hua; Niu, Ben Dynamics in a plankton model with toxic substances and phytoplankton harvesting. (English) Zbl 1445.34079 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 2, Article ID 2050035, 21 p. (2020). MSC: 34C60 92D40 92D25 34C05 34D20 34C23 34C20 34D05 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{B. Niu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 2, Article ID 2050035, 21 p. (2020; Zbl 1445.34079) Full Text: DOI
Ji, Xuehui; Yuan, Sanling; Zhang, Tonghua; Zhu, Huaiping Stochastic modeling of algal bloom dynamics with delayed nutrient recycling. (English) Zbl 1497.92346 Math. Biosci. Eng. 16, No. 1, 1-24 (2019). MSC: 92D40 60J20 PDFBibTeX XMLCite \textit{X. Ji} et al., Math. Biosci. Eng. 16, No. 1, 1--24 (2019; Zbl 1497.92346) Full Text: DOI
Meng, Xin-You; Wang, Jiao-Guo Analysis of a delayed diffusive model with Beddington-DeAngelis functional response. (English) Zbl 1418.35030 Int. J. Biomath. 12, No. 4, Article ID 1950047, 24 p. (2019). MSC: 35B32 92B05 35K57 35K51 35B35 37L10 PDFBibTeX XMLCite \textit{X.-Y. Meng} and \textit{J.-G. Wang}, Int. J. Biomath. 12, No. 4, Article ID 1950047, 24 p. (2019; Zbl 1418.35030) Full Text: DOI
Mu, Yu; Li, Zuxiong; Xiang, Huili; Wang, Hailing Bifurcation analysis of a turbidostat model with distributed delay. (English) Zbl 1390.37146 Nonlinear Dyn. 90, No. 2, 1315-1334 (2017). MSC: 37N25 92D25 37G05 PDFBibTeX XMLCite \textit{Y. Mu} et al., Nonlinear Dyn. 90, No. 2, 1315--1334 (2017; Zbl 1390.37146) Full Text: DOI
Wang, Liang; Jiang, Daqing; O’Regan, Donal The periodic solutions of a stochastic chemostat model with periodic washout rate. (English) Zbl 1473.92026 Commun. Nonlinear Sci. Numer. Simul. 37, 1-13 (2016). MSC: 92C99 34C25 34F05 PDFBibTeX XMLCite \textit{L. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 37, 1--13 (2016; Zbl 1473.92026) Full Text: DOI
Wang, Pengfei; Zhao, Min; Yu, Hengguo; Dai, Chuanjun; Wang, Nan; Wang, Beibei Nonlinear dynamics of a marine phytoplankton-zooplankton system. (English) Zbl 1418.92229 Adv. Difference Equ. 2016, Paper No. 212, 16 p. (2016). MSC: 92D40 PDFBibTeX XMLCite \textit{P. Wang} et al., Adv. Difference Equ. 2016, Paper No. 212, 16 p. (2016; Zbl 1418.92229) Full Text: DOI
Kengwoung-Keumo, Jean-Jacques Competition between a nonallelopathic phytoplankton and an allelopathic phytoplankton species under predation. (English) Zbl 1397.92579 Math. Biosci. Eng. 13, No. 4, 787-812 (2016). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{J.-J. Kengwoung-Keumo}, Math. Biosci. Eng. 13, No. 4, 787--812 (2016; Zbl 1397.92579) Full Text: DOI
Zhao, Jiantao; Tian, Jianjun Paul; Wei, Junjie Minimal model of plankton systems revisited with spatial diffusion and maturation delay. (English) Zbl 1343.92556 Bull. Math. Biol. 78, No. 3, 381-412 (2016). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{J. Zhao} et al., Bull. Math. Biol. 78, No. 3, 381--412 (2016; Zbl 1343.92556) Full Text: DOI
Zhang, Tiansi; Ji, Xuehui; Li, Bo Periodic oscillations in a chemostat model with two discrete delays. (English) Zbl 1418.92080 Discrete Dyn. Nat. Soc. 2015, Article ID 306302, 7 p. (2015). MSC: 92C99 92D40 34K20 34K60 PDFBibTeX XMLCite \textit{T. Zhang} et al., Discrete Dyn. Nat. Soc. 2015, Article ID 306302, 7 p. (2015; Zbl 1418.92080) Full Text: DOI
Pal, Samares; Chatterjee, Anal Dynamics of the interaction of plankton and planktivorous fish with delay. (English) Zbl 1339.92099 Cogent Math. 2, No. 1, Article ID 1074337, 27 p. (2015). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{S. Pal} and \textit{A. Chatterjee}, Cogent Math. 2, Article ID 1074337, 27 p. (2015; Zbl 1339.92099) Full Text: DOI
Zhao, Jiantao; Wei, Junjie Dynamics in a diffusive plankton system with delay and toxic substances effect. (English) Zbl 1307.35034 Nonlinear Anal., Real World Appl. 22, 66-83 (2015). MSC: 35B32 35Q92 35K57 35R10 37L10 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{J. Wei}, Nonlinear Anal., Real World Appl. 22, 66--83 (2015; Zbl 1307.35034) Full Text: DOI
Ji, Xuehui; Yuan, Sanling Dynamics of a stochastic functional system for wastewater treatment. (English) Zbl 1406.92667 Abstr. Appl. Anal. 2014, Article ID 831573, 18 p. (2014). MSC: 92D40 93E15 PDFBibTeX XMLCite \textit{X. Ji} and \textit{S. Yuan}, Abstr. Appl. Anal. 2014, Article ID 831573, 18 p. (2014; Zbl 1406.92667) Full Text: DOI
Kengwoung-Keumo, Jean-Jacques Dynamics of two phytoplankton populations under predation. (English) Zbl 1305.92058 Math. Biosci. Eng. 11, No. 6, 1319-1336 (2014). MSC: 92D25 92D40 62P12 PDFBibTeX XMLCite \textit{J.-J. Kengwoung-Keumo}, Math. Biosci. Eng. 11, No. 6, 1319--1336 (2014; Zbl 1305.92058) Full Text: DOI
Kloosterman, Matt; Campbell, Sue Ann; Poulin, Francis J. A closed NPZ model with delayed nutrient recycling. (English) Zbl 1351.37275 J. Math. Biol. 68, No. 4, 815-850 (2014). MSC: 37N25 92B05 PDFBibTeX XMLCite \textit{M. Kloosterman} et al., J. Math. Biol. 68, No. 4, 815--850 (2014; Zbl 1351.37275) Full Text: DOI
Yuan, Yuan A coupled plankton system with instantaneous and delayed predation. (English) Zbl 1447.92381 J. Biol. Dyn. 6, No. 2, 148-165 (2012). MSC: 92D25 92D40 34C23 PDFBibTeX XMLCite \textit{Y. Yuan}, J. Biol. Dyn. 6, No. 2, 148--165 (2012; Zbl 1447.92381) Full Text: DOI
Lin, Mei; Huo, Hai-Feng; Li, Yu-Ning A competitive model in a chemostat with nutrient recycling and antibiotic treatment. (English) Zbl 1401.92069 Nonlinear Anal., Real World Appl. 13, No. 6, 2540-2555 (2012). MSC: 92C37 PDFBibTeX XMLCite \textit{M. Lin} et al., Nonlinear Anal., Real World Appl. 13, No. 6, 2540--2555 (2012; Zbl 1401.92069) 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
Yuan, Sanling; Zhao, Yu; Xiao, Anfeng; Zhang, Tonghua Bifurcation and chaos in a pulsed plankton model with instantaneous nutrient recycling. (English) Zbl 1256.34040 Rocky Mt. J. Math. 42, No. 4, 1387-1409 (2012). MSC: 34C60 34A37 34C23 34C28 34D20 34C25 92D40 PDFBibTeX XMLCite \textit{S. Yuan} et al., Rocky Mt. J. Math. 42, No. 4, 1387--1409 (2012; Zbl 1256.34040) Full Text: DOI Euclid
Chatterjee, Samrat Coupling effect of grazing pressure and nutrient enrichment on system stability. (English) Zbl 1250.92041 Math. Biosci. 238, No. 1, 1-11 (2012). MSC: 92D40 34D20 65C20 PDFBibTeX XMLCite \textit{S. Chatterjee}, Math. Biosci. 238, No. 1, 1--11 (2012; Zbl 1250.92041) Full Text: DOI
Rehim, Mehbuba; Sun, Lingling; Abdurahman, Xamxinur; Teng, Zhidong Study of chemostat model with impulsive input and nutrient recycling in a polluted environment. (English) Zbl 1221.34036 Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2563-2574 (2011). MSC: 34A37 92D25 34C11 PDFBibTeX XMLCite \textit{M. Rehim} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2563--2574 (2011; Zbl 1221.34036) Full Text: DOI
Bhattacharyya, R.; Bera, Ashoke; Mukhopadhyay, B. Role of different system delays on ecological food chain dynamics: Mathematical modelling and analysis. (English) Zbl 1206.92040 J. Syst. Sci. Complex. 23, No. 4, 727-737 (2010). MSC: 92D40 34K20 34K13 37N25 PDFBibTeX XMLCite \textit{R. Bhattacharyya} et al., J. Syst. Sci. Complex. 23, No. 4, 727--737 (2010; Zbl 1206.92040) Full Text: DOI
Mukhopadhyay, Banibrata; Bhattacharyya, Rakhi Modeling the role of constant and time varying recycling delay on an ecological food chain. (English) Zbl 1224.34270 Appl. Math., Praha 55, No. 3, 221-240 (2010). MSC: 34K60 34K20 34K18 34K13 92D25 92D40 PDFBibTeX XMLCite \textit{B. Mukhopadhyay} and \textit{R. Bhattacharyya}, Appl. Math., Praha 55, No. 3, 221--240 (2010; Zbl 1224.34270) Full Text: DOI EuDML Link
Wang, Kai; Teng, Zhidong; Zhang, Fengqin Global behaviors of a chemostat model with delayed nutrient recycling and periodically pulsed input. (English) Zbl 1208.34131 Discrete Dyn. Nat. Soc. 2010, Article ID 830951, 21 p. (2010). MSC: 34K60 34K25 34K45 92D25 PDFBibTeX XMLCite \textit{K. Wang} et al., Discrete Dyn. Nat. Soc. 2010, Article ID 830951, 21 p. (2010; Zbl 1208.34131) Full Text: DOI EuDML
Li, Lin; Liu, Zhicheng Global stability and Hopf bifurcation of a plankton model with time delay. (English) Zbl 1193.34171 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1737-1745 (2010). Reviewer: Eva Sanchez (Madrid) MSC: 34K60 34K18 34K20 92C80 PDFBibTeX XMLCite \textit{L. Li} and \textit{Z. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1737--1745 (2010; Zbl 1193.34171) 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
Zhao, Hongyong; Sun, Li Periodic oscillatory and global attractivity for chemostat model involving distributed delays. (English) Zbl 1130.34333 Nonlinear Anal., Real World Appl. 7, No. 3, 385-394 (2006). MSC: 34K25 34K13 92D25 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{L. Sun}, Nonlinear Anal., Real World Appl. 7, No. 3, 385--394 (2006; Zbl 1130.34333) Full Text: DOI
Yuan, Sanling; Xiao, Dongmei; Han, Maoan Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor. (English) Zbl 1112.34062 Math. Biosci. 202, No. 1, 1-28 (2006). Reviewer: Hai-Feng Huo (Lanzhou) MSC: 34K25 34K20 92D25 34K60 92D40 PDFBibTeX XMLCite \textit{S. Yuan} et al., Math. Biosci. 202, No. 1, 1--28 (2006; Zbl 1112.34062) Full Text: DOI
Nakaoka, Shinji; Takeuchi, Yasuhiro Competition in chemostat-type equations with two habitats. (English) Zbl 1093.92057 Math. Biosci. 201, No. 1-2, 157-171 (2006). MSC: 92D40 34K60 PDFBibTeX XMLCite \textit{S. Nakaoka} and \textit{Y. Takeuchi}, Math. Biosci. 201, No. 1--2, 157--171 (2006; Zbl 1093.92057) Full Text: DOI
Sree Hari Rao, V.; Raja Sekhara Rao, P. Mathematical models and stabilizing bio-control mechanisms for microbial populations in a cultured environment. (English) Zbl 1095.92070 Chaos Solitons Fractals 28, No. 5, 1222-1251 (2006). MSC: 92D40 34K60 93C95 37N25 PDFBibTeX XMLCite \textit{V. Sree Hari Rao} and \textit{P. Raja Sekhara Rao}, Chaos Solitons Fractals 28, No. 5, 1222--1251 (2006; Zbl 1095.92070) Full Text: DOI
Sree Hari Rao, V.; Raja Sekhara Rao, P. Stability analysis of resource-consumer dynamic models. (English) Zbl 1107.34045 ANZIAM J. 47, No. 3, 413-438 (2006). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 34C60 34K13 34K20 91B42 PDFBibTeX XMLCite \textit{V. Sree Hari Rao} and \textit{P. Raja Sekhara Rao}, ANZIAM J. 47, No. 3, 413--438 (2006; Zbl 1107.34045) Full Text: DOI
Jang, S. R.-J.; Baglama, J. Nutrient-plankton models with nutrient recycling. (English) Zbl 1139.92317 Comput. Math. Appl. 49, No. 2-3, 375-387 (2005). MSC: 92D40 PDFBibTeX XMLCite \textit{S. R. J. Jang} and \textit{J. Baglama}, Comput. Math. Appl. 49, No. 2--3, 375--387 (2005; Zbl 1139.92317) Full Text: DOI
Rao, V. Sree Hari; Rao, P. Raja Sekhara Oscillations induced by the time lags in limited nutrient–consumer dynamic models. (English) Zbl 1136.91511 Chaos Solitons Fractals 25, No. 1, 11-23 (2005). MSC: 91B42 PDFBibTeX XMLCite \textit{V. S. H. Rao} and \textit{P. R. S. Rao}, Chaos Solitons Fractals 25, No. 1, 11--23 (2005; Zbl 1136.91511) Full Text: DOI
Sree Hari Rao, V.; Raja Sekhara Rao, P. Mathematical models of the microbial populations and issues concerning stability. (English) Zbl 1084.92035 Chaos Solitons Fractals 23, No. 2, 657-670 (2005). MSC: 92D40 93A30 34K60 34K20 34D05 PDFBibTeX XMLCite \textit{V. Sree Hari Rao} and \textit{P. Raja Sekhara Rao}, Chaos Solitons Fractals 23, No. 2, 657--670 (2005; Zbl 1084.92035) Full Text: DOI
Sre Hari Rao, V.; Raja Sekhara Rao, P. Global stability in chemostat models involving time delays and wall growth. (English) Zbl 1067.92061 Nonlinear Anal., Real World Appl. 5, No. 1, 141-158 (2004). MSC: 92D40 34K60 34K20 PDFBibTeX XMLCite \textit{V. Sre Hari Rao} and \textit{P. Raja Sekhara Rao}, Nonlinear Anal., Real World Appl. 5, No. 1, 141--158 (2004; Zbl 1067.92061) Full Text: DOI
Yuan, Sanling; Han, Maoan Bifurcation analysis of a chemostat model with two distributed delays. (English) Zbl 1059.34059 Chaos Solitons Fractals 20, No. 5, 995-1004 (2004). Reviewer: Jan Sieber (Bristol) MSC: 34K60 34K18 34K20 92E20 PDFBibTeX XMLCite \textit{S. Yuan} and \textit{M. Han}, Chaos Solitons Fractals 20, No. 5, 995--1004 (2004; Zbl 1059.34059) Full Text: DOI
Abdallah, Sabah Hafez Stability and persistence in plankton models with distributed delays. (English) Zbl 1033.92032 Chaos Solitons Fractals 17, No. 5, 879-884 (2003). MSC: 92D40 34K20 34K18 37N25 PDFBibTeX XMLCite \textit{S. H. Abdallah}, Chaos Solitons Fractals 17, No. 5, 879--884 (2003; Zbl 1033.92032) Full Text: DOI
Gourley, Stephen A.; Ruan, Shigui Spatio-temporal delays in a nutrient-plankton model on a finite domain: Linear stability and bifurcations. (English) Zbl 1026.92050 Appl. Math. Comput. 145, No. 2-3, 391-412 (2003). MSC: 92D40 35K57 35B35 PDFBibTeX XMLCite \textit{S. A. Gourley} and \textit{S. Ruan}, Appl. Math. Comput. 145, No. 2--3, 391--412 (2003; Zbl 1026.92050) Full Text: DOI
El-Owaidy, H. M.; Ismail, M. Asymptotic behaviour of the chemostat model with delayed response in growth. (English) Zbl 1022.92041 Chaos Solitons Fractals 13, No. 4, 787-795 (2002). MSC: 92D40 34K60 34C60 PDFBibTeX XMLCite \textit{H. M. El-Owaidy} and \textit{M. Ismail}, Chaos Solitons Fractals 13, No. 4, 787--795 (2002; Zbl 1022.92041) Full Text: DOI
El Abdllaoui, A.; Chattopadhyay, J.; Arino, Ovide Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system. (English) Zbl 1056.92057 Math. Models Methods Appl. Sci. 12, No. 10, 1421-1451 (2002). MSC: 92D40 34K60 34K18 PDFBibTeX XMLCite \textit{A. El Abdllaoui} et al., Math. Models Methods Appl. Sci. 12, No. 10, 1421--1451 (2002; Zbl 1056.92057) Full Text: DOI
Boushaba, Khalid; Ruan, Shigui Instability in diffusive ecolocical models with nonlocal delay effects. (English) Zbl 0982.35117 J. Math. Anal. Appl. 258, No. 1, 269-286 (2001). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35R10 92D40 35K57 PDFBibTeX XMLCite \textit{K. Boushaba} and \textit{S. Ruan}, J. Math. Anal. Appl. 258, No. 1, 269--286 (2001; Zbl 0982.35117) Full Text: DOI
Peng, Qiu-Liang; Freedman, H. I. Global attractivity in a periodic chemostat with general uptake functions. (English) Zbl 0997.92040 J. Math. Anal. Appl. 249, No. 2, 300-323 (2000). MSC: 92D40 34C25 34D23 34C60 34D05 37N25 PDFBibTeX XMLCite \textit{Q.-L. Peng} and \textit{H. I. Freedman}, J. Math. Anal. Appl. 249, No. 2, 300--323 (2000; Zbl 0997.92040) Full Text: DOI
Arino, Ovide; Boushaba, Khalid; Boussouar, Ahmed A mathematical model of the dynamics of the phytoplankton-nutrient system. (English) Zbl 0984.92032 Nonlinear Anal., Real World Appl. 1, No. 1, 69-87 (2000). MSC: 92D40 35Q92 37N25 PDFBibTeX XMLCite \textit{O. Arino} et al., Nonlinear Anal., Real World Appl. 1, No. 1, 69--87 (2000; Zbl 0984.92032) Full Text: DOI
Kandil, F. M. Model of competition in the chemostat with instantaneous recycling. (English) Zbl 1017.92040 Appl. Math. Comput. 108, No. 1, 1-10 (2000). MSC: 92D40 34D05 34C60 PDFBibTeX XMLCite \textit{F. M. Kandil}, Appl. Math. Comput. 108, No. 1, 1--10 (2000; Zbl 1017.92040) Full Text: DOI
Schley, D.; Gourley, S. A. Linear stability criteria in a reaction-diffusion equation with spatially inhomogeneous delay. (English) Zbl 0931.35189 Dyn. Stab. Syst. 14, No. 1, 71-91 (1999). Reviewer: J.H.Swart (Durban) MSC: 35R10 92D25 35K57 PDFBibTeX XMLCite \textit{D. Schley} and \textit{S. A. Gourley}, Dyn. Stab. Syst. 14, No. 1, 71--91 (1999; Zbl 0931.35189) Full Text: DOI
Guo, Sangang; Ma, Zhien; Fergola, P.; Tenneriello, C. The threshold of population survival in a polluted chemostat model. (English) Zbl 1069.92520 Math. Comput. Modelling 28, No. 9, 117-127 (1998). MSC: 92D40 PDFBibTeX XMLCite \textit{S. Guo} et al., Math. Comput. Modelling 28, No. 9, 117--127 (1998; Zbl 1069.92520) Full Text: DOI
Lu, Zhiqi; Hadeler, K. P. Model of plasmid-bearing, plasmid-free competition in the chemostat with nutrient recycling and an inhibitor. (English) Zbl 0930.92029 Math. Biosci. 148, No. 2, 147-159 (1998). MSC: 92D40 34D05 34D20 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{K. P. Hadeler}, Math. Biosci. 148, No. 2, 147--159 (1998; Zbl 0930.92029) Full Text: DOI
Ruan, Shigui The effect of delays on stability and persistence in plankton models. (English) Zbl 0830.34067 Nonlinear Anal., Theory Methods Appl. 24, No. 4, 575-585 (1995). Reviewer: C.A.Braumann (Evora) MSC: 34K20 45J05 34C23 92D25 PDFBibTeX XMLCite \textit{S. Ruan}, Nonlinear Anal., Theory Methods Appl. 24, No. 4, 575--585 (1995; Zbl 0830.34067) Full Text: DOI
Ruan, Shigui Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling. (English) Zbl 0779.92021 J. Math. Biol. 31, No. 6, 633-654 (1993). Reviewer: Y.Y.Sugai (Chiba-shi) MSC: 92D40 PDFBibTeX XMLCite \textit{S. Ruan}, J. Math. Biol. 31, No. 6, 633--654 (1993; Zbl 0779.92021) Full Text: DOI
Bischi, Gian Italo Effects of time lags on transient characteristics of a nutrient cycling model. (English) Zbl 0748.92014 Math. Biosci. 109, No. 2, 151-175 (1992). MSC: 92D40 45J05 92-08 45M10 PDFBibTeX XMLCite \textit{G. I. Bischi}, Math. Biosci. 109, No. 2, 151--175 (1992; Zbl 0748.92014) Full Text: DOI