Mandal, Arindam; Sk, Nazmul; Biswas, Saswati Nutrient enrichment and phytoplankton toxicity influence a diversity of complex dynamics in a fear-induced plankton-fish model. (English) Zbl 07790110 J. Theor. Biol. 578, Article ID 111698, 12 p. (2024). MSC: 92D40 92D25 60H30 PDFBibTeX XMLCite \textit{A. Mandal} et al., J. Theor. Biol. 578, Article ID 111698, 12 p. (2024; Zbl 07790110) Full Text: DOI
Liao, Tiancai Plankton growth dynamic driven by plankton body size in deterministic and stochastic environments. (English) Zbl 07781316 Math. Methods Appl. Sci. 46, No. 2, 2569-2601 (2023). MSC: 34D05 34D23 92D30 92D40 PDFBibTeX XMLCite \textit{T. Liao}, Math. Methods Appl. Sci. 46, No. 2, 2569--2601 (2023; Zbl 07781316) Full Text: DOI
Hening, Alexandru; Hieu, Nguyen Trong; Nguyen, Dang Hai; Nguyen, Nhu Ngoc Stochastic nutrient-plankton models. (English) Zbl 07757713 J. Differ. Equations 376, 370-405 (2023). MSC: 92D40 92D25 60H30 PDFBibTeX XMLCite \textit{A. Hening} et al., J. Differ. Equations 376, 370--405 (2023; Zbl 07757713) Full Text: DOI arXiv
Sajan; Kumar Choudhary, Kapil; Dubey, Balram A non-autonomous approach to study the impact of environmental toxins on nutrient-plankton system. (English) Zbl 07736279 Appl. Math. Comput. 458, Article ID 128236, 25 p. (2023). MSC: 92Dxx 34Kxx 34Cxx PDFBibTeX XMLCite \textit{Sajan} et al., Appl. Math. Comput. 458, Article ID 128236, 25 p. (2023; Zbl 07736279) Full Text: DOI
Macdonald, J. C.; Gulbudak, H. Forward hysteresis and Hopf bifurcation in an NPZD model with application to harmful algal blooms. (English) Zbl 1520.92087 J. Math. Biol. 87, No. 3, Paper No. 45, 35 p. (2023). MSC: 92D40 92D25 34A30 PDFBibTeX XMLCite \textit{J. C. Macdonald} and \textit{H. Gulbudak}, J. Math. Biol. 87, No. 3, Paper No. 45, 35 p. (2023; Zbl 1520.92087) Full Text: DOI arXiv
Ikeda, Hideo Singular perturbation approach to a plankton model generating harmful algal bloom. (English) Zbl 1521.35014 Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6179-6207 (2023). MSC: 35B25 35B32 35B35 35B36 35K51 35K57 35Q92 PDFBibTeX XMLCite \textit{H. Ikeda}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6179--6207 (2023; Zbl 1521.35014) Full Text: DOI
Ostrovsky, L. A. Dynamics of particles and plankton under the action of internal solitary waves. (English) Zbl 1524.70036 Wave Motion 114, Article ID 103013, 11 p. (2022). MSC: 70F10 76U60 92D50 PDFBibTeX XMLCite \textit{L. A. Ostrovsky}, Wave Motion 114, Article ID 103013, 11 p. (2022; Zbl 1524.70036) Full Text: DOI
Liang, Yuqin; Jia, Yunfeng Stability and Hopf bifurcation of a diffusive plankton model with time-delay and mixed nonlinear functional responses. (English) Zbl 1507.92127 Chaos Solitons Fractals 163, Article ID 112533, 13 p. (2022). MSC: 92D40 92D25 35Q92 PDFBibTeX XMLCite \textit{Y. Liang} and \textit{Y. Jia}, Chaos Solitons Fractals 163, Article ID 112533, 13 p. (2022; Zbl 1507.92127) Full Text: DOI
Zhao, Yu; Wei, Chunjin Dynamics of a toxin producing plankton-fish model with three-dimensional patch and time delay. (English) Zbl 1507.34094 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250183, 22 p. (2022). MSC: 34K60 92D25 92D40 34K21 34K20 34K18 34K13 34K19 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{C. Wei}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250183, 22 p. (2022; Zbl 1507.34094) Full Text: DOI
Du, Yanfei; Yang, Yun Stability switches and chaos in a diffusive toxic phytoplankton-zooplankton model with delay. (English) Zbl 1502.35012 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250178, 25 p. (2022). MSC: 35B32 35K51 35K57 35Q92 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Y. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250178, 25 p. (2022; Zbl 1502.35012) Full Text: DOI
Kaur, Rajinder Pal; Sharma, Amit; Sharma, Anuj Kumar Dynamical complexity in a delayed plankton-fish model with alternative food for predators. (English) Zbl 1497.92347 Numer. Algebra Control Optim. 12, No. 4, 793-814 (2022). MSC: 92D40 34K20 34K60 37N25 92D25 PDFBibTeX XMLCite \textit{R. P. Kaur} et al., Numer. Algebra Control Optim. 12, No. 4, 793--814 (2022; Zbl 1497.92347) Full Text: DOI
Wang, Wen; Liu, Shutang; Liu, Zhibin Different mechanisms of pattern formation in a plankton model with cross-diffusion and fitness. (English) Zbl 1497.92031 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2230018, 20 p. (2022). MSC: 92C15 92D25 35K57 35B36 PDFBibTeX XMLCite \textit{W. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2230018, 20 p. (2022; Zbl 1497.92031) Full Text: DOI
Strickland, W. C.; Battista, N. A.; Hamlet, C. L.; Miller, L. A. Planktos: an agent-based modeling framework for small organism movement and dispersal in a fluid environment with immersed structures. (English) Zbl 1498.92321 Bull. Math. Biol. 84, No. 7, Paper No. 72, 30 p. (2022). Reviewer: Jiu-Gang Dong (Dalian) MSC: 92D50 76Z10 92-08 PDFBibTeX XMLCite \textit{W. C. Strickland} et al., Bull. Math. Biol. 84, No. 7, Paper No. 72, 30 p. (2022; Zbl 1498.92321) Full Text: DOI
Li, Yanfeng A diffusive plankton system with time delay and habitat complexity effects under Neumann boundary condition. (English) Zbl 1496.92130 Bound. Value Probl. 2022, Paper No. 36, 19 p. (2022). MSC: 92D40 35Q92 PDFBibTeX XMLCite \textit{Y. Li}, Bound. Value Probl. 2022, Paper No. 36, 19 p. (2022; Zbl 1496.92130) 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
Gökçe, Aytül; Yazar, Samire; Sekerci, Yadigar Stability of spatial patterns in a diffusive oxygen-plankton model with time lag effect. (English) Zbl 07478788 Math. Comput. Simul. 194, 109-123 (2022). MSC: 92-XX 34-XX PDFBibTeX XMLCite \textit{A. Gökçe} et al., Math. Comput. Simul. 194, 109--123 (2022; Zbl 07478788) Full Text: DOI
Sukhinov, A. I.; Nikitina, A. V.; Atayan, A. M.; Litvinov, V. N.; Belova, Yu. V.; Chistyakov, A. E. Supercomputer simulation of hydrobiological processes of coastal systems. (Russian. English summary) Zbl 1481.92118 Mat. Model. 34, No. 1, 81-103 (2022). MSC: 92D25 92D40 35K57 92-08 PDFBibTeX XMLCite \textit{A. I. Sukhinov} et al., Mat. Model. 34, No. 1, 81--103 (2022; Zbl 1481.92118) Full Text: DOI MNR
Kaur, Rajinder Pal; Sharma, Amit; Sharma, Anuj Kumar Impact of fear effect on plankton-fish system dynamics incorporating zooplankton refuge. (English) Zbl 1498.92167 Chaos Solitons Fractals 143, Article ID 110563, 9 p. (2021). MSC: 92D25 37M25 34C11 34C23 34C60 34D20 92B05 92D40 PDFBibTeX XMLCite \textit{R. P. Kaur} et al., Chaos Solitons Fractals 143, Article ID 110563, 9 p. (2021; Zbl 1498.92167) Full Text: DOI
Thakur, Nilesh Kumar; Ojha, Archana; Tiwari, Pankaj Kumar; Upadhyay, Ranjit Kumar An investigation of delay induced stability transition in nutrient-plankton systems. (English) Zbl 1496.92131 Chaos Solitons Fractals 142, Article ID 110474, 19 p. (2021). MSC: 92D40 34C60 34K18 34K20 34K60 92C40 PDFBibTeX XMLCite \textit{N. K. Thakur} et al., Chaos Solitons Fractals 142, Article ID 110474, 19 p. (2021; Zbl 1496.92131) Full Text: DOI
Zhao, Qiuyue; Liu, Shutang; Niu, Xinglong Turing instability and Hopf bifurcation for a diffusion-plankton system with cell size. (English) Zbl 1484.35035 Int. J. Comput. Math. 98, No. 3, 480-501 (2021). MSC: 35B32 35K51 35K57 37N25 92D25 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Int. J. Comput. Math. 98, No. 3, 480--501 (2021; Zbl 1484.35035) 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
Jiang, Zhichao; Zhang, Weicong; Bai, Xueli; Jie, Maoyan Dynamic analysis in a plankton ecosystem involving two delays. (English) Zbl 1484.34185 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 15, Article ID 2150252, 19 p. (2021). MSC: 34K60 92D40 92D25 34K21 34K20 34K18 34K13 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 15, Article ID 2150252, 19 p. (2021; Zbl 1484.34185) Full Text: DOI
Lazzari, Paolo; Grimaudo, Roberto; Solidoro, Cosimo; Valenti, Davide Stochastic 0-dimensional biogeochemical flux model: effect of temperature fluctuations on the dynamics of the biogeochemical properties in a marine ecosystem. (English) Zbl 1475.92210 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105994, 17 p. (2021). MSC: 92D40 60H10 86A05 PDFBibTeX XMLCite \textit{P. Lazzari} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105994, 17 p. (2021; Zbl 1475.92210) Full Text: DOI arXiv
Chatterjee, Anal; Pal, Samares Dynamical analysis of phytoplankton-zooplankton interaction model by using deterministic and stochastic approach. (English) Zbl 1471.92376 Mondaini, Rubem P. (ed.), Trends in biomathematics: chaos and control in epidemics, ecosystems, and cells. Selected works from the 20th BIOMAT consortium lectures, Rio de Janeiro, Brazil, November 1–6, 2020. Cham: Springer. 33-56 (2021). MSC: 92D40 92D25 34C23 34F10 PDFBibTeX XMLCite \textit{A. Chatterjee} and \textit{S. Pal}, in: Trends in biomathematics: chaos and control in epidemics, ecosystems, and cells. Selected works from the 20th BIOMAT consortium lectures, Rio de Janeiro, Brazil, November 1--6, 2020. Cham: Springer. 33--56 (2021; Zbl 1471.92376) Full Text: DOI
Liu, Guodong; Meng, Xinzhu; Liu, Siyu Dynamics for a tritrophic impulsive periodic plankton-fish system with diffusion in lakes. (English) Zbl 1469.92139 Math. Methods Appl. Sci. 44, No. 5, 3260-3279 (2021). MSC: 92D40 92D25 35K57 35R12 PDFBibTeX XMLCite \textit{G. Liu} et al., Math. Methods Appl. Sci. 44, No. 5, 3260--3279 (2021; Zbl 1469.92139) Full Text: DOI
Yamaguchi, Sachi; Yusa, Yoichi; Iwasa, Yoh Evolution of life cycle dimorphism: an example of sacoglossan sea slugs. (English) Zbl 1467.92144 J. Theor. Biol. 525, Article ID 110760, 8 p. (2021). MSC: 92D15 92D40 92D25 PDFBibTeX XMLCite \textit{S. Yamaguchi} et al., J. Theor. Biol. 525, Article ID 110760, 8 p. (2021; Zbl 1467.92144) Full Text: DOI
Perasso, Antoine; Richard, Quentin; Azzali, Irene; Venturino, Ezio Well-posedness, positivity, and time asymptotics properties for a reaction-diffusion model of plankton communities, involving a rational nonlinearity with singularity. (English) Zbl 1475.35361 Stud. Appl. Math. 146, No. 1, 211-232 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 92D25 92D40 35B09 35B40 35A01 35A02 35R09 PDFBibTeX XMLCite \textit{A. Perasso} et al., Stud. Appl. Math. 146, No. 1, 211--232 (2021; Zbl 1475.35361) Full Text: DOI
Tuong, Tran D.; Nguyen, Nhu N. Characterization of long-term behavior of stochastic NP ecological model under regime switching. (English) Zbl 1458.34094 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105497, 10 p. (2021). Reviewer: Melvin D. Lax (Long Beach) MSC: 34C60 34F05 34D05 92D40 92C80 PDFBibTeX XMLCite \textit{T. D. Tuong} and \textit{N. N. Nguyen}, Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105497, 10 p. (2021; Zbl 1458.34094) Full Text: DOI
Thakur, Nilesh Kumar; Ojha, Archana; Jana, Debaldev; Kumar Upadhyay, Ranjit Modeling the plankton-fish dynamics with top predator interference and multiple gestation delays. (English) Zbl 1516.92096 Nonlinear Dyn. 100, No. 4, 4003-4029 (2020). MSC: 92D25 34B18 34C23 34K18 34K12 34C11 PDFBibTeX XMLCite \textit{N. K. Thakur} et al., Nonlinear Dyn. 100, No. 4, 4003--4029 (2020; Zbl 1516.92096) Full Text: DOI
Gökçe, Aytül; Yazar, Samire; Sekerci, Yadigar Delay induced nonlinear dynamics of oxygen-plankton interactions. (English) Zbl 1496.92090 Chaos Solitons Fractals 141, Article ID 110327, 14 p. (2020). MSC: 92D25 34K18 34K20 34K60 92D40 PDFBibTeX XMLCite \textit{A. Gökçe} et al., Chaos Solitons Fractals 141, Article ID 110327, 14 p. (2020; Zbl 1496.92090) Full Text: DOI
Sekerci, Yadigar; Ozarslan, Ramazan Respiration effect on plankton-oxygen dynamics in view of non-singular time fractional derivatives. (English) Zbl 1527.92030 Physica A 553, Article ID 123942, 11 p. (2020). MSC: 92C80 34A08 34C60 PDFBibTeX XMLCite \textit{Y. Sekerci} and \textit{R. Ozarslan}, Physica A 553, Article ID 123942, 11 p. (2020; Zbl 1527.92030) Full Text: DOI
Meng, Xin-You; Wu, Yu-Qian; Li, Jie Bifurcation analysis of a singular nutrient-plankton-fish model with taxation, protected zone and multiple delays. (English) Zbl 1478.92247 Numer. Algebra Control Optim. 10, No. 3, 391-423 (2020). MSC: 92D40 34A09 91B76 34H05 34C23 PDFBibTeX XMLCite \textit{X.-Y. Meng} et al., Numer. Algebra Control Optim. 10, No. 3, 391--423 (2020; Zbl 1478.92247) Full Text: DOI
Biswas, Saswati; Tiwari, Pankaj Kumar; Kang, Yun; Pal, Samares Effects of zooplankton selectivity on phytoplankton in an ecosystem affected by free-viruses and environmental toxins. (English) Zbl 1470.92380 Math. Biosci. Eng. 17, No. 2, 1272-1317 (2020). MSC: 92D40 92D25 34A34 PDFBibTeX XMLCite \textit{S. Biswas} et al., Math. Biosci. Eng. 17, No. 2, 1272--1317 (2020; Zbl 1470.92380) Full Text: DOI
Raw, S. N.; Tiwari, B.; Mishra, P. Analysis of a plankton-fish model with external toxicity and nonlinear harvesting. (English) Zbl 1467.34051 Ric. Mat. 69, No. 2, 653-681 (2020). MSC: 34C60 92D25 92D40 34C05 34D20 34D23 34C23 34D05 49J15 34C28 PDFBibTeX XMLCite \textit{S. N. Raw} et al., Ric. Mat. 69, No. 2, 653--681 (2020; Zbl 1467.34051) Full Text: DOI
Lv, Xiaojun; Zhao, Kaihong; Li, Rui Multiple positive periodic solutions of a discrete non-autonomous plankton allelopathy system. (Chinese. English summary) Zbl 1474.39053 J. Guangxi Norm. Univ., Nat. Sci. 38, No. 4, 66-73 (2020). MSC: 39A60 39A23 92B05 92D25 PDFBibTeX XMLCite \textit{X. Lv} et al., J. Guangxi Norm. Univ., Nat. Sci. 38, No. 4, 66--73 (2020; Zbl 1474.39053) Full Text: DOI
Sandhu, Simran Kaur; Morozov, Andrew; Juan, Lourdes Exploring the role of spatial and stoichiometric heterogeneity in the top-down control in eutrophic planktonic ecosystems. (English) Zbl 1455.92155 J. Theor. Biol. 499, Article ID 110311, 12 p. (2020). MSC: 92D40 PDFBibTeX XMLCite \textit{S. K. Sandhu} et al., J. Theor. Biol. 499, Article ID 110311, 12 p. (2020; Zbl 1455.92155) Full Text: DOI
Al-Karkhi, Tahani A. S.; Kusdiantara, Rudy; Susanto, Hadi; Codling, Edward A. Bloom formation and Turing patterns in an infochemical mediated multitrophic plankton model. (English) Zbl 1448.92161 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2030028, 18 p. (2020). MSC: 92D25 35K57 35B32 35B35 PDFBibTeX XMLCite \textit{T. A. S. Al-Karkhi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2030028, 18 p. (2020; Zbl 1448.92161) Full Text: DOI
Guo, Qing; Dai, Chuanjun; Yu, Hengguo; Liu, He; Sun, Xiuxiu; Li, Jianbing; Zhao, Min Stability and bifurcation analysis of a nutrient-phytoplankton model with time delay. (English) Zbl 1451.34103 Math. Methods Appl. Sci. 43, No. 6, 3018-3039 (2020). MSC: 34K60 92C80 34K21 34K20 34K18 34K13 PDFBibTeX XMLCite \textit{Q. Guo} et al., Math. Methods Appl. Sci. 43, No. 6, 3018--3039 (2020; Zbl 1451.34103) Full Text: DOI
Sekerci, Yadigar; Ozarslan, Ramazan Marine system dynamical response to a changing climate in frame of power law, exponential decay, and Mittag-Leffler kernel. (English) Zbl 1448.92383 Math. Methods Appl. Sci. 43, No. 8, 5480-5506 (2020). MSC: 92D40 34C60 26A33 37N25 PDFBibTeX XMLCite \textit{Y. Sekerci} and \textit{R. Ozarslan}, Math. Methods Appl. Sci. 43, No. 8, 5480--5506 (2020; Zbl 1448.92383) Full Text: DOI
Thakur, Nilesh Kumar; Ojha, Archana; Tiwari, S. K. The role of adaptation in plankton system with Beddington-DeAngelis type functional response. (English) Zbl 1446.35231 Manna, Santanu (ed.) et al., Mathematical modelling and scientific computing with applications. Proceedings of the international conference, ICMMSC 2018, Indore, India, July 19–21, 2018. Singapore: Springer. Springer Proc. Math. Stat. 308, 21-33 (2020). MSC: 35Q92 92D25 92C15 35B36 35K57 35B35 PDFBibTeX XMLCite \textit{N. K. Thakur} et al., Springer Proc. Math. Stat. 308, 21--33 (2020; Zbl 1446.35231) Full Text: DOI
Sekerci, Yadigar; Ozarslan, Ramazan Oxygen-plankton model under the effect of global warming with nonsingular fractional order. (English) Zbl 1434.86022 Chaos Solitons Fractals 132, Article ID 109532, 14 p. (2020). MSC: 86A08 86A05 34A08 PDFBibTeX XMLCite \textit{Y. Sekerci} and \textit{R. Ozarslan}, Chaos Solitons Fractals 132, Article ID 109532, 14 p. (2020; Zbl 1434.86022) Full Text: DOI
Mandal, Arindam; Tiwari, Pankaj Kumar; Samanta, Sudip; Venturino, Ezio; Pal, Samares A nonautonomous model for the effect of environmental toxins on plankton dynamics. (English) Zbl 1434.37051 Nonlinear Dyn. 99, No. 4, 3373-3405 (2020). MSC: 37N25 92D30 37H10 PDFBibTeX XMLCite \textit{A. Mandal} et al., Nonlinear Dyn. 99, No. 4, 3373--3405 (2020; Zbl 1434.37051) Full Text: DOI
Omta, A. W.; Talmy, D.; Inomura, K.; Irwin, A. J.; Finkel, Z. V.; Sher, D.; Liefer, J. D.; Follows, M. J. Quantifying nutrient throughput and DOM production by algae in continuous culture. (English) Zbl 1437.92156 J. Theor. Biol. 494, Article ID 110214, 12 p. (2020). MSC: 92D40 92C80 PDFBibTeX XMLCite \textit{A. W. Omta} et al., J. Theor. Biol. 494, Article ID 110214, 12 p. (2020; Zbl 1437.92156) Full Text: DOI
Wang, Yufei; Cheng, Huidong; Li, Qingjian Dynamical properties of a herbivore-plankton impulsive semidynamic system with eating behavior. (English) Zbl 1448.92387 Complexity 2020, Article ID 5726895, 15 p. (2020). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92D40 34C25 34A37 PDFBibTeX XMLCite \textit{Y. Wang} et al., Complexity 2020, Article ID 5726895, 15 p. (2020; Zbl 1448.92387) 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
Loladze, Irakli Iterative chemostat: a modelling framework linking biosynthesis to nutrient cycling on ecological and evolutionary time scales. (English) Zbl 1497.92165 Math. Biosci. Eng. 16, No. 2, 990-1004 (2019). MSC: 92C75 92D40 PDFBibTeX XMLCite \textit{I. Loladze}, Math. Biosci. Eng. 16, No. 2, 990--1004 (2019; Zbl 1497.92165) Full Text: DOI
Zhao, Qiuyue; Liu, Shutang; Niu, Xinglong Dynamic behavior analysis of a diffusive plankton model with defensive and offensive effects. (English) Zbl 1448.92264 Chaos Solitons Fractals 129, 94-102 (2019). MSC: 92D25 92D40 35Q92 35B35 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Chaos Solitons Fractals 129, 94--102 (2019; Zbl 1448.92264) Full Text: DOI
Morozov, Andrew; Denaro, Giovanni; Spagnolo, Bernardo; Valenti, Davide Revisiting the role of top-down and bottom-up controls in stabilisation of nutrient-rich plankton communities. (English) Zbl 1514.92182 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104885, 14 p. (2019). MSC: 92D40 92D25 45J05 PDFBibTeX XMLCite \textit{A. Morozov} et al., Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104885, 14 p. (2019; Zbl 1514.92182) Full Text: DOI
Chakraborty, S.; Pal, S. The effect of toxin and human impact on marine ecosystem. (English) Zbl 1444.92133 Singh, Vinai K. (ed.) et al., Advances in mathematical methods and high performance computing. Cham: Springer. Adv. Mech. Math. 41, 117-134 (2019). MSC: 92D40 92D25 91B76 PDFBibTeX XMLCite \textit{S. Chakraborty} and \textit{S. Pal}, Adv. Mech. Math. 41, 117--134 (2019; Zbl 1444.92133) Full Text: DOI
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua Asymptotic properties of stochastic nutrient-plankton food chain models with nutrient recycling. (English) Zbl 1435.34056 Nonlinear Anal., Hybrid Syst. 34, 209-225 (2019). MSC: 34C60 92D40 37C60 34F05 34C25 34D05 PDFBibTeX XMLCite \textit{X. Yu} et al., Nonlinear Anal., Hybrid Syst. 34, 209--225 (2019; Zbl 1435.34056) Full Text: DOI
Wang, Wen; Liu, Shutang; Liu, Zhibin Spatiotemporal dynamics near the Turing-Hopf bifurcation in a toxic-phytoplankton-zooplankton model with cross-diffusion. (English) Zbl 1430.37119 Nonlinear Dyn. 98, No. 1, 27-37 (2019). MSC: 37N25 92D40 92D25 92C15 PDFBibTeX XMLCite \textit{W. Wang} et al., Nonlinear Dyn. 98, No. 1, 27--37 (2019; Zbl 1430.37119) Full Text: DOI
Nath, Binayak; Roy, Prodip; Das, Krishnapada Dynamics of nutrient-phytoplankton-zooplankton interaction in the presence of viral infection. (English) Zbl 1429.92144 Nonlinear Stud. 26, No. 1, 197-217 (2019). MSC: 92D40 92D30 92D25 34C23 34C25 PDFBibTeX XMLCite \textit{B. Nath} et al., Nonlinear Stud. 26, No. 1, 197--217 (2019; Zbl 1429.92144) Full Text: Link
Shahbazi Asl, Mohammad; Javidi, Mohammad A new numerical method for solving system of FDEs: applied in plankton system. (English) Zbl 1437.92158 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 26, No. 4, 221-242 (2019). MSC: 92D40 92D25 26A33 65R10 PDFBibTeX XMLCite \textit{M. Shahbazi Asl} and \textit{M. Javidi}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 26, No. 4, 221--242 (2019; Zbl 1437.92158) Full Text: Link Link
Chaput, Romain; Majoris, John E.; Buston, Peter M.; Paris, Claire B. Hydrodynamic and biological constraints on group cohesion in plankton. (English) Zbl 1422.92187 J. Theor. Biol. 482, Article ID 109987, 9 p. (2019). MSC: 92D40 76F99 PDFBibTeX XMLCite \textit{R. Chaput} et al., J. Theor. Biol. 482, Article ID 109987, 9 p. (2019; Zbl 1422.92187) Full Text: DOI
Medvinsky, Alexander B.; Rusakov, Alexey V.; Adamovich, Boris V.; Mikheyeva, Tamara M.; Nurieva, Nailya I. Determinism versus randomness in plankton dynamics: the analysis of noisy time series based on the recurrence plots. (English) Zbl 1459.37087 Russ. J. Numer. Anal. Math. Model. 34, No. 4, 187-196 (2019). Reviewer: Angela Slavova (Sofia) MSC: 37N25 37M10 65P20 92D25 PDFBibTeX XMLCite \textit{A. B. Medvinsky} et al., Russ. J. Numer. Anal. Math. Model. 34, No. 4, 187--196 (2019; Zbl 1459.37087) Full Text: DOI
Liu, Chao; Yu, Longfei; Zhang, Qingling; Li, Yuanke Dynamic analysis of a hybrid bioeconomic plankton system with double time delays and stochastic fluctuations. (English) Zbl 1426.92053 Appl. Math. Comput. 316, 115-137 (2018). MSC: 92D25 92D40 37N25 PDFBibTeX XMLCite \textit{C. Liu} et al., Appl. Math. Comput. 316, 115--137 (2018; Zbl 1426.92053) Full Text: DOI
Shirzadi, Ahmad; Ghayedi, Shabnam; Safarpoor, Mansour; Bardi, Ghorbanali Bagheri Numerical solutions of a mathematical model of plankton-oxygen dynamics using a meshless method. (Persian. English summary) Zbl 1412.65239 JAMM, J. Adv. Math. Model. 8, No. 2, 74-93 (2018). MSC: 65P99 65L12 PDFBibTeX XMLCite \textit{A. Shirzadi} et al., JAMM, J. Adv. Math. Model. 8, No. 2, 74--93 (2018; Zbl 1412.65239) Full Text: DOI
Clifton, W.; Bearon, R. N.; Bees, M. A. Enhanced sedimentation of elongated plankton in simple flows. (English) Zbl 1408.76622 IMA J. Appl. Math. 83, No. 4, 743-766 (2018). MSC: 76Z10 92D40 92C42 PDFBibTeX XMLCite \textit{W. Clifton} et al., IMA J. Appl. Math. 83, No. 4, 743--766 (2018; Zbl 1408.76622) Full Text: DOI Link
Chatterjee, Anal; Pal, Samares; Venturino, Ezio A plankton-nutrient model with Holling type III response function. (English) Zbl 1401.92211 Mondaini, Rubem P. (ed.), Trends in biomathematics: modeling, optimization and computational problems. Selected works from the 17th BIOMAT consortium lectures, Moscow, Russia, October 30 – November 3, 2017. Cham: Springer; Rio de Janeiro: BIOMAT Consortium, International Institute for Interdisciplinary Sciences (ISBN 978-3-319-91091-8/hbk; 978-3-319-91092-5/ebook). 167-188 (2018). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{A. Chatterjee} et al., in: Trends in biomathematics: modeling, optimization and computational problems. Selected works from the 17th BIOMAT consortium lectures, Moscow, Russia, October 30 -- November 3, 2017. Cham: Springer; Rio de Janeiro: BIOMAT Consortium, International Institute for Interdisciplinary Sciences. 167--188 (2018; Zbl 1401.92211) Full Text: DOI
Yao, Xiaojie; Qin, Fajin Four positive almost periodic solutions to an impulses competition systems with harvesting terms. (Chinese. English summary) Zbl 1413.34286 J. South China Norm. Univ., Nat. Sci. Ed. 50, No. 2, 94-99 (2018). MSC: 34K60 34K14 34K45 92D25 47N20 PDFBibTeX XMLCite \textit{X. Yao} and \textit{F. Qin}, J. South China Norm. Univ., Nat. Sci. Ed. 50, No. 2, 94--99 (2018; Zbl 1413.34286) Full Text: DOI
Shahbazi Asl, Mohammad; Javidi, Mohammad Novel algorithms to estimate nonlinear FDEs: applied to fractional order nutrient-phytoplankton-zooplankton system. (English) Zbl 1490.92050 J. Comput. Appl. Math. 339, 193-207 (2018). MSC: 92D25 26A33 37N25 65L05 65L20 PDFBibTeX XMLCite \textit{M. Shahbazi Asl} and \textit{M. Javidi}, J. Comput. Appl. Math. 339, 193--207 (2018; Zbl 1490.92050) Full Text: DOI
Cuesta, José A.; Delius, Gustav W.; Law, Richard Sheldon spectrum and the plankton paradox: two sides of the same coin – a trait-based plankton size-spectrum model. (English) Zbl 1392.92072 J. Math. Biol. 76, No. 1-2, 67-96 (2018). MSC: 92D25 92D40 92C37 PDFBibTeX XMLCite \textit{J. A. Cuesta} et al., J. Math. Biol. 76, No. 1--2, 67--96 (2018; Zbl 1392.92072) Full Text: DOI arXiv
Panda, Bhanumati; Dube, Anumeha; Kumar, Sushil Study of the seasonal variability of plankton and forage fish in Chilika Lagoon using NPZF model: a case study. (English) Zbl 1396.92091 Manchanda, Pammy (ed.) et al., Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Singapore: Springer (ISBN 978-981-10-3757-3/hbk; 978-981-10-3758-0/ebook). Industrial and Applied Mathematics, 295-304 (2017). MSC: 92D40 PDFBibTeX XMLCite \textit{B. Panda} et al., in: Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29--31, 2016. Singapore: Springer. 295--304 (2017; Zbl 1396.92091) Full Text: DOI
Azzali, Irene; Morozov, Andrew; Venturino, Ezio Exploring the role of vertical heterogeneity in the stabilization of planktonic ecosystems under eutrophication. (English) Zbl 1397.92710 J. Biol. Syst. 25, No. 4, 715-741 (2017). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{I. Azzali} et al., J. Biol. Syst. 25, No. 4, 715--741 (2017; Zbl 1397.92710) Full Text: DOI
Wang, Wen; Liu, Shutang; Tian, Dadong; Zhao, Qiuyue Permanence and extinction of a nonautonomous impulsive plankton model with help. (English) Zbl 1383.92094 Math. Methods Appl. Sci. 40, No. 18, 7175-7184 (2017). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{W. Wang} et al., Math. Methods Appl. Sci. 40, No. 18, 7175--7184 (2017; Zbl 1383.92094) Full Text: DOI
Thakur, Nilesh Kumar; Tiwari, S. K.; Dubey, B.; Upadhyay, Ranjit Kumar Diffusive three species plankton model in the presence of toxic prey: application to Sundarban mangrove wetland. (English) Zbl 1376.92052 J. Biol. Syst. 25, No. 2, 185-206 (2017). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{N. K. Thakur} et al., J. Biol. Syst. 25, No. 2, 185--206 (2017; Zbl 1376.92052) Full Text: DOI
Ikeda, Hideo; Mimura, Masayasu; Scotti, Tommaso Shadow system approach to a plankton model generating harmful algal bloom. (English) Zbl 1359.35202 Discrete Contin. Dyn. Syst. 37, No. 2, 829-858 (2017). MSC: 35Q92 35B32 35B35 35B36 35K57 92D25 92D40 PDFBibTeX XMLCite \textit{H. Ikeda} et al., Discrete Contin. Dyn. Syst. 37, No. 2, 829--858 (2017; Zbl 1359.35202) Full Text: DOI
Chen, Lijuan; Sun, Jitao; Chen, Fengde; Zhao, Liang Extinction in a Lotka-Volterra competitive system with impulse and the effect of toxic substances. (English) Zbl 1452.92031 Appl. Math. Modelling 40, No. 3, 2015-2024 (2016). MSC: 92D25 34A37 34C60 PDFBibTeX XMLCite \textit{L. Chen} et al., Appl. Math. Modelling 40, No. 3, 2015--2024 (2016; Zbl 1452.92031) Full Text: DOI
Chatterjee, Anal; Pal, Samares Role of constant nutrient input and mortality rate of plankton population in marine plankton ecosystem. (English) Zbl 1442.37096 Int. J. Dyn. Syst. Differ. Equ. 6, No. 3, 234-253 (2016). MSC: 37N25 92D40 92D25 PDFBibTeX XMLCite \textit{A. Chatterjee} and \textit{S. Pal}, Int. J. Dyn. Syst. Differ. Equ. 6, No. 3, 234--253 (2016; Zbl 1442.37096) Full Text: DOI
Xie, Xiangdong; Xue, Yalong; Wu, Runxin Global attractivity of a discrete competition model of plankton allelopathy with infinite deviating arguments. (English) Zbl 1419.34161 Adv. Difference Equ. 2016, Paper No. 303, 12 p. (2016). MSC: 34D23 92D25 92B05 34D05 PDFBibTeX XMLCite \textit{X. Xie} et al., Adv. Difference Equ. 2016, Paper No. 303, 12 p. (2016; Zbl 1419.34161) Full Text: DOI
Venturino, Ezio Ecoepidemiology: a more comprehensive view of population interactions. (English) Zbl 1384.92060 Math. Model. Nat. Phenom. 11, No. 1, 49-90 (2016). MSC: 92D30 92D25 92D40 PDFBibTeX XMLCite \textit{E. Venturino}, Math. Model. Nat. Phenom. 11, No. 1, 49--90 (2016; Zbl 1384.92060) Full Text: DOI
Xu, Changjin; Zhang, Qiming; Li, Peiluan Dynamics in a two-species competitive model of plankton allelopathy with delays and feedback controls. (English) Zbl 1413.39036 Publ. Math. Debr. 89, No. 1-2, 1-22 (2016). MSC: 39A60 92D25 37N25 PDFBibTeX XMLCite \textit{C. Xu} et al., Publ. Math. Debr. 89, No. 1--2, 1--22 (2016; Zbl 1413.39036) Full Text: DOI
Zhao, Zhong; Luo, Chengguang; Pang, Liuyong; Chen, Ying Nonlinear modelling of the interaction between phytoplankton and zooplankton with the impulsive feedback control. (English) Zbl 1355.92103 Chaos Solitons Fractals 87, 255-261 (2016). MSC: 92D25 93B52 34C25 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Chaos Solitons Fractals 87, 255--261 (2016; Zbl 1355.92103) Full Text: DOI
Kartal, S.; Kar, M.; Kartal, N.; Gurcan, F. Modelling and analysis of a phytoplankton-zooplankton system with continuous and discrete time. (English) Zbl 1348.93032 Math. Comput. Model. Dyn. Syst. 22, No. 6, 539-554 (2016). MSC: 93A30 92C42 93C15 PDFBibTeX XMLCite \textit{S. Kartal} et al., Math. Comput. Model. Dyn. Syst. 22, No. 6, 539--554 (2016; Zbl 1348.93032) Full Text: DOI
Xu, Lijun; Li, Yaqin; Yang, Yonghong; Zhang, Tianwei Persistence and almost periodic solutions in a model of plankton allelopathy with impulsive effects. (English) Zbl 1363.34171 J. Math. Res. Appl. 36, No. 2, 201-212 (2016). MSC: 34C60 92D40 34A37 34D20 34D05 PDFBibTeX XMLCite \textit{L. Xu} et al., J. Math. Res. Appl. 36, No. 2, 201--212 (2016; Zbl 1363.34171) Full Text: DOI
Sharma, Anuj Kumar; Sharma, Amit; Agnihotri, Kulbhushan Bifurcation behaviors analysis of a plankton model with multiple delays. (English) Zbl 1347.34120 Int. J. Biomath. 9, No. 6, Article ID 1650086, 25 p. (2016). MSC: 34K60 34K18 34K19 34K13 34K20 34K17 92D40 PDFBibTeX XMLCite \textit{A. K. Sharma} et al., Int. J. Biomath. 9, No. 6, Article ID 1650086, 25 p. (2016; Zbl 1347.34120) Full Text: DOI
Bengfort, Michael; Malchow, Horst; Hilker, Frank M. The Fokker-Planck law of diffusion and pattern formation in heterogeneous environments. (English) Zbl 1351.35226 J. Math. Biol. 73, No. 3, 683-704 (2016). MSC: 35Q84 35B36 92C15 60J70 PDFBibTeX XMLCite \textit{M. Bengfort} et al., J. Math. Biol. 73, No. 3, 683--704 (2016; Zbl 1351.35226) 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
Zhao, Jiantao; Wei, Junjie Persistence, Turing instability and Hopf bifurcation in a diffusive plankton system with delay and quadratic closure. (English) Zbl 1336.35342 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 3, Article ID 1650047, 13 p. (2016). MSC: 35Q92 92D25 35R10 35B40 35B36 35B32 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{J. Wei}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 3, Article ID 1650047, 13 p. (2016; Zbl 1336.35342) Full Text: DOI
Thakur, Nilesh Kumar; Tiwari, S. K.; Upadhyay, Ranjit Kumar Harmful algal blooms in fresh and marine water systems: the role of toxin producing phytoplankton. (English) Zbl 1338.92114 Int. J. Biomath. 9, No. 3, Article ID 1650043, 20 p. (2016). MSC: 92D25 34K20 92D40 PDFBibTeX XMLCite \textit{N. K. Thakur} et al., Int. J. Biomath. 9, No. 3, Article ID 1650043, 20 p. (2016; Zbl 1338.92114) Full Text: DOI
Kloosterman, Matt; Campbell, Sue Ann; Poulin, Francis J. An NPZ model with state-dependent delay due to size-structure in juvenile zooplankton. (English) Zbl 1336.37065 SIAM J. Appl. Math. 76, No. 2, 551-577 (2016). MSC: 37N25 PDFBibTeX XMLCite \textit{M. Kloosterman} et al., SIAM J. Appl. Math. 76, No. 2, 551--577 (2016; Zbl 1336.37065) Full Text: DOI arXiv
Xu, Changjin; Zhang, Qiming; Li, Peiluan Almost periodic solution analysis in a two-species competitive model of plankton alleopathy with impulses. (English) Zbl 1334.34181 J. Appl. Math. Comput. 50, No. 1-2, 437-452 (2016). MSC: 34K60 34K20 92D25 92D40 34K45 34K14 PDFBibTeX XMLCite \textit{C. Xu} et al., J. Appl. Math. Comput. 50, No. 1--2, 437--452 (2016; Zbl 1334.34181) Full Text: DOI
Wen, Xiaoqing; Yin, Hongwei; Wei, Ying Dynamics of stochastic non-autonomous plankton-allelopathy system. (English) Zbl 1422.92194 Adv. Difference Equ. 2015, Paper No. 327, 10 p. (2015). MSC: 92D40 35Q92 34B18 34F05 34D05 34C60 PDFBibTeX XMLCite \textit{X. Wen} et al., Adv. Difference Equ. 2015, Paper No. 327, 10 p. (2015; Zbl 1422.92194) 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
Chen, Fengde; Xie, Xiangdong; Wang, Haina Global stability in a competition model of plankton allelopathy with infinite delay. (English) Zbl 1327.93041 J. Syst. Sci. Complex. 28, No. 5, 1070-1079 (2015). MSC: 93A30 92C40 93D09 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Syst. Sci. Complex. 28, No. 5, 1070--1079 (2015; Zbl 1327.93041) Full Text: DOI
Chatterjee, Anal; Pal, Samares Effect of delay on growth function of zooplankton in plankton ecosystem model and its consequence on the formation of plankton bloom. (English) Zbl 1329.34128 Nonlinear Stud. 22, No. 3, 503-523 (2015). MSC: 34K60 34K20 34K25 34K18 34K13 PDFBibTeX XMLCite \textit{A. Chatterjee} and \textit{S. Pal}, Nonlinear Stud. 22, No. 3, 503--523 (2015; Zbl 1329.34128) Full Text: Link
Sekerci, Y.; Petrovskii, S. Mathematical modelling of spatiotemporal dynamics of oxygen in a plankton system. (English) Zbl 1323.92219 Math. Model. Nat. Phenom. 10, No. 2, 96-114 (2015). MSC: 92D40 92B99 PDFBibTeX XMLCite \textit{Y. Sekerci} and \textit{S. Petrovskii}, Math. Model. Nat. Phenom. 10, No. 2, 96--114 (2015; Zbl 1323.92219) Full Text: DOI Link
De Blasio, Fabio Vittorio; Liow, Lee Hsiang; Schweder, Tore; De Blasio, Birgitte Freiesleben A model for global diversity in response to temperature change over geological time scales, with reference to planktic organisms. (English) Zbl 1314.92106 J. Theor. Biol. 365, 445-456 (2015). MSC: 92D15 92D25 PDFBibTeX XMLCite \textit{F. V. De Blasio} et al., J. Theor. Biol. 365, 445--456 (2015; Zbl 1314.92106) Full Text: DOI
Kuwamura, Masataka Turing instabilities in prey-predator systems with dormancy of predators. (English) Zbl 1334.35121 J. Math. Biol. 71, No. 1, 125-149 (2015). Reviewer: Eugene Postnikov (Kursk) MSC: 35K57 92B05 35Q92 35B36 PDFBibTeX XMLCite \textit{M. Kuwamura}, J. Math. Biol. 71, No. 1, 125--149 (2015; Zbl 1334.35121) Full Text: DOI
Wu, Daiyong; Zhang, Hai Bifurcation analysis of a two-species competitive discrete model of plankton allelopathy. (English) Zbl 1417.92221 Adv. Difference Equ. 2014, Paper No. 70, 10 p. (2014). MSC: 92D40 92D25 34K13 34C25 PDFBibTeX XMLCite \textit{D. Wu} and \textit{H. Zhang}, Adv. Difference Equ. 2014, Paper No. 70, 10 p. (2014; Zbl 1417.92221) Full Text: DOI
Zhang, Jianbao; Lin, Haidan Existence of multiple periodic solutions for plankton allelopathy model with time-delays. (English) Zbl 1394.92115 Int. J. Nonlinear Sci. 17, No. 2, 111-118 (2014). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{H. Lin}, Int. J. Nonlinear Sci. 17, No. 2, 111--118 (2014; Zbl 1394.92115)
Sharma, Amit; Sharma, Anuj Kumar; Agnihotri, Kulbhushan The dynamic of plankton-nutrient interaction with delay. (English) Zbl 1410.37078 Appl. Math. Comput. 231, 503-515 (2014). MSC: 37N25 92D25 34K40 PDFBibTeX XMLCite \textit{A. Sharma} et al., Appl. Math. Comput. 231, 503--515 (2014; Zbl 1410.37078) Full Text: DOI
Wang, Yuan; Li, Yanling The coexistence solutions of a model of plankton. (Chinese. English summary) Zbl 1340.92097 Basic Sci. J. Text. Univ. 27, No. 4, 447-452 (2014). MSC: 92D40 35K57 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Li}, Basic Sci. J. Text. Univ. 27, No. 4, 447--452 (2014; Zbl 1340.92097)
Wang, Yong; Wang, Hongbin; Jiang, Weihua Stability switches and global Hopf bifurcation in a nutrient-plankton model. (English) Zbl 1331.92138 Nonlinear Dyn. 78, No. 2, 981-994 (2014). MSC: 92D25 92D40 34K18 34K20 PDFBibTeX XMLCite \textit{Y. Wang} et al., Nonlinear Dyn. 78, No. 2, 981--994 (2014; Zbl 1331.92138) 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
Dhar, J.; Sharma, A. K. The role of instant nutrient replenishment on plankton species in a closed system. (English) Zbl 1300.92096 J. Appl. Math. Inform. 32, No. 5-6, 555-566 (2014). MSC: 92D30 92D40 37G15 PDFBibTeX XMLCite \textit{J. Dhar} and \textit{A. K. Sharma}, J. Appl. Math. Inform. 32, No. 5--6, 555--566 (2014; Zbl 1300.92096) 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
Cordoleani, Flora; Nerini, David; Morozov, Andrey; Gauduchon, Mathias; Poggiale, Jean-Christophe Scaling up the predator functional response in heterogeneous environment: when Holling type III can emerge? (English) Zbl 1411.92304 J. Theor. Biol. 336, 200-208 (2013). MSC: 92D40 PDFBibTeX XMLCite \textit{F. Cordoleani} et al., J. Theor. Biol. 336, 200--208 (2013; Zbl 1411.92304) Full Text: DOI
Zhang, Wen; Liu, Haihong; Xu, Chenglin Local bifurcations for a delay differential model of plankton allelopathy. (English) Zbl 1394.92116 Int. J. Nonlinear Sci. 15, No. 4, 340-349 (2013). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{W. Zhang} et al., Int. J. Nonlinear Sci. 15, No. 4, 340--349 (2013; Zbl 1394.92116)
Chaudhuri, Sanjay; Roy, Shovonlal; Chattopadhyay, J. Phytoplankton-zooplankton dynamics in the ‘presence’ or ‘absence’ of toxic phytoplankton. (English) Zbl 1334.92332 Appl. Math. Comput. 225, 102-116 (2013). MSC: 92D25 PDFBibTeX XMLCite \textit{S. Chaudhuri} et al., Appl. Math. Comput. 225, 102--116 (2013; Zbl 1334.92332) Full Text: DOI