Wang, Quan; Zu, Li Dynamical analysis of a delayed stochastic Lotka-Volterra competitive model in polluted aquatic environments. (English) Zbl 07792421 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 80, 26 p. (2024). MSC: 92D25 34K60 34K50 34K25 60E05 92D40 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{L. Zu}, Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 80, 26 p. (2024; Zbl 07792421) Full Text: DOI
Yuan, Hairui; Meng, Xinzhu; Alzahrani, Abdullah Khames Analysis of dynamic evolution process of the \(N\)-player division of labor game model. (English) Zbl 1522.91018 Math. Model. Nat. Phenom. 18, Paper No. 12, 23 p. (2023). MSC: 91A06 91A22 91A80 92C70 35Q92 34K18 PDFBibTeX XMLCite \textit{H. Yuan} et al., Math. Model. Nat. Phenom. 18, Paper No. 12, 23 p. (2023; Zbl 1522.91018) Full Text: DOI
Ye, Luhong; Zhao, Hongyong; Wu, Daiyong Spatial movement with memory-induced cross-diffusion effect and toxin effect in predator. (English) Zbl 07736761 Math. Comput. Simul. 214, 68-91 (2023). MSC: 92-XX 35-XX PDFBibTeX XMLCite \textit{L. Ye} et al., Math. Comput. Simul. 214, 68--91 (2023; Zbl 07736761) Full Text: DOI
Liu, He; Dai, Chuanjun; Yu, Hengguo; Guo, Qing; Li, Jianbing; Hao, Aimin; Kikuchi, Jun; Zhao, Min Dynamics of a stochastic non-autonomous phytoplankton-zooplankton system involving toxin-producing phytoplankton and impulsive perturbations. (English) Zbl 07594639 Math. Comput. Simul. 203, 368-386 (2023). MSC: 92-XX 37-XX PDFBibTeX XMLCite \textit{H. Liu} et al., Math. Comput. Simul. 203, 368--386 (2023; Zbl 07594639) Full Text: DOI
Aristotelous, Andreas C. Biofilm neutrophils interactions under hypoxia: a mathematical modeling study. (English) Zbl 1500.92052 Math. Biosci. 352, Article ID 108893, 12 p. (2022). MSC: 92C70 PDFBibTeX XMLCite \textit{A. C. Aristotelous}, Math. Biosci. 352, Article ID 108893, 12 p. (2022; Zbl 1500.92052) Full Text: DOI
Chen, Ming; Wang, Hao; Gong, Menglin Discrete-time versus continuous-time toxic predation models. (English) Zbl 1486.92149 J. Difference Equ. Appl. 28, No. 2, 244-258 (2022). MSC: 92D25 39A22 39A28 39A30 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Difference Equ. Appl. 28, No. 2, 244--258 (2022; Zbl 1486.92149) Full Text: DOI
Zhang, Feifan; Sun, Jiamin; Tian, Wang Spatiotemporal pattern selection in a nontoxic-phytoplankton – toxic-phytoplankton – zooplankton model with toxin avoidance effects. (English) Zbl 1510.92267 Appl. Math. Comput. 423, Article ID 127007, 18 p. (2022). MSC: 92D40 92D25 35K57 37N25 92C15 35Q92 PDFBibTeX XMLCite \textit{F. Zhang} et al., Appl. Math. Comput. 423, Article ID 127007, 18 p. (2022; Zbl 1510.92267) Full Text: DOI
Qi, Haokun; Meng, Xinzhu; Hayat, Tasawar; Hobiny, Aatef Influence of fear effect on bifurcation dynamics of predator-prey system in a predator-poisoned environment. (English) Zbl 1487.34102 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 27, 34 p. (2022). MSC: 34C60 92D25 34C05 34D20 34C23 34D05 34C27 PDFBibTeX XMLCite \textit{H. Qi} et al., Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 27, 34 p. (2022; Zbl 1487.34102) Full Text: DOI
Xiang, Nan; Wu, Qidong; Wan, Aying Spatiotemporal patterns of a diffusive plant-herbivore model with toxin-determined functional responses: multiple bifurcations. (English) Zbl 07428962 Math. Comput. Simul. 187, 337-356 (2021). MSC: 35-XX 92-XX PDFBibTeX XMLCite \textit{N. Xiang} et al., Math. Comput. Simul. 187, 337--356 (2021; Zbl 07428962) Full Text: DOI
Das, Krishna Pada; Agnihotri, Kulbhushan; Kaur, Harpreet; Vijaya, S. Cross-diffusion driven instability in a two toxin producing competitive species of reaction diffusion system. (English) Zbl 1488.92047 Nonlinear Stud. 28, No. 1, 45-63 (2021). MSC: 92D25 35K57 35B35 PDFBibTeX XMLCite \textit{K. P. Das} et al., Nonlinear Stud. 28, No. 1, 45--63 (2021; Zbl 1488.92047) Full Text: Link
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
Zu, Li; Jiang, Daqing; O’Regan, Donal; Hayat, Tasawar Dynamic analysis of a stochastic toxin-mediated predator-prey model in aquatic environments. (English) Zbl 1470.92271 J. Math. Anal. Appl. 504, No. 2, Article ID 125424, 25 p. (2021). MSC: 92D25 92D40 35Q84 60H40 PDFBibTeX XMLCite \textit{L. Zu} et al., J. Math. Anal. Appl. 504, No. 2, Article ID 125424, 25 p. (2021; Zbl 1470.92271) Full Text: DOI
Li, Xiaona Dynamical analysis of toxin producing model with delay. (English) Zbl 1474.92005 J. Math. Res. Appl. 41, No. 1, 33-48 (2021). MSC: 92-10 34K60 34K20 34K18 92D40 34K21 34K13 PDFBibTeX XMLCite \textit{X. Li}, J. Math. Res. Appl. 41, No. 1, 33--48 (2021; Zbl 1474.92005) Full Text: DOI
Zhang, Yuyue; Huang, Jicai; Huang, Qihua The impact of toxins on competition dynamics of three species in a polluted aquatic environment. (English) Zbl 1466.92235 Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3043-3068 (2021). MSC: 92D40 92D25 34C23 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3043--3068 (2021; Zbl 1466.92235) Full Text: DOI
FitzGerald, Cody E.; Keener, James P. A systematic search for switch-like behavior in type II toxin-antitoxin systems. (English) Zbl 1466.92061 J. Math. Biol. 82, No. 7, Paper No. 60, 29 p. (2021). MSC: 92C42 92C40 34C60 PDFBibTeX XMLCite \textit{C. E. FitzGerald} and \textit{J. P. Keener}, J. Math. Biol. 82, No. 7, Paper No. 60, 29 p. (2021; Zbl 1466.92061) Full Text: DOI
Kumari, Sarita; Upadhyay, Ranjit Kumar; Kumar, Pramod; Rai, Vikas Dynamics and patterns of species abundance in ocean: a mathematical modeling study. (English) Zbl 1464.35368 Nonlinear Anal., Real World Appl. 60, Article ID 103303, 24 p. (2021). MSC: 35Q92 92D40 92D25 92D30 92C15 65M06 65L06 92-08 PDFBibTeX XMLCite \textit{S. Kumari} et al., Nonlinear Anal., Real World Appl. 60, Article ID 103303, 24 p. (2021; Zbl 1464.35368) Full Text: DOI
Chen, Zhewen; Tian, Zhuyan; Zhang, Shuwen; Wei, Chunjin The stationary distribution and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton under regime switching. (English) Zbl 07571823 Physica A 537, Article ID 122728, 10 p. (2020). MSC: 82-XX PDFBibTeX XMLCite \textit{Z. Chen} et al., Physica A 537, Article ID 122728, 10 p. (2020; Zbl 07571823) Full Text: DOI
Liao, Tiancai; Dai, Chuanjun; Yu, Hengguo; Ma, Zengling; Wang, Qi; Zhao, Min Dynamical analysis of a stochastic toxin-producing phytoplankton-fish system with harvesting. (English) Zbl 1482.37097 Adv. Difference Equ. 2020, Paper No. 117, 22 p. (2020). MSC: 37N25 92D25 92D40 60H10 92D30 PDFBibTeX XMLCite \textit{T. Liao} et al., Adv. Difference Equ. 2020, Paper No. 117, 22 p. (2020; Zbl 1482.37097) Full Text: DOI
Dong, Yueping; Ren, Jianlu; Huang, Qihua Dynamics of a toxin-mediated aquatic population model with delayed toxic responses. (English) Zbl 1470.92238 Math. Biosci. Eng. 17, No. 5, 5907-5924 (2020). MSC: 92D25 92D40 34K18 34K20 PDFBibTeX XMLCite \textit{Y. Dong} et al., Math. Biosci. Eng. 17, No. 5, 5907--5924 (2020; Zbl 1470.92238) Full Text: DOI
Ouedraogo, Hamidou; Sangaré, Boureima; Ouedraogo, Wendkouni Cross and self-diffusion mathematical model with nonlinear functional response for plankton dynamics. (English) Zbl 1458.92068 J. Adv. Math. Stud. 13, No. 2, 237-251 (2020). MSC: 92D25 35K57 92-10 PDFBibTeX XMLCite \textit{H. Ouedraogo} et al., J. Adv. Math. Stud. 13, No. 2, 237--251 (2020; Zbl 1458.92068) Full Text: Link
Ouedraogo, Hamidou; Ouedraogo, Wendkouni; Sangare, Boureima Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion. (English) Zbl 1506.92108 Biomath 8, No. 2, Article ID 1911237, 13 p. (2019). MSC: 92D40 92D25 92C15 35K57 35B35 PDFBibTeX XMLCite \textit{H. Ouedraogo} et al., Biomath 8, No. 2, Article ID 1911237, 13 p. (2019; Zbl 1506.92108) Full Text: DOI
Saha, Sangeeta; Samanta, G. P. Dynamics of an epidemic model with impact of toxins. (English) Zbl 07568265 Physica A 527, Article ID 121152, 28 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{S. Saha} and \textit{G. P. Samanta}, Physica A 527, Article ID 121152, 28 p. (2019; Zbl 07568265) Full Text: DOI
Chen, Zhewen; Zhang, Shuwen; Wei, Chunjin Dynamics of a stochastic phytoplankton-toxin phytoplankton-zooplankton model. (English) Zbl 1485.92082 Adv. Difference Equ. 2019, Paper No. 347, 18 p. (2019). MSC: 92D25 92D40 60H10 65C30 34F05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Adv. Difference Equ. 2019, Paper No. 347, 18 p. (2019; Zbl 1485.92082) Full Text: DOI
Agnihotri, Kulbhushan; Kaur, Harpreet The dynamics of viral infection in toxin producing phytoplankton and zooplankton system with time delay. (English) Zbl 1442.92120 Chaos Solitons Fractals 118, 122-133 (2019). MSC: 92D25 92D40 34K20 34K18 34K60 PDFBibTeX XMLCite \textit{K. Agnihotri} and \textit{H. Kaur}, Chaos Solitons Fractals 118, 122--133 (2019; Zbl 1442.92120) Full Text: DOI
Ouedraogo, Hamidou; Ouedraogo, Wendkouni; Sangare, Boureima Bifurcation and stability analysis in complex cross-diffusion mathematical model of phytoplankton-fish dynamics. (English) Zbl 1449.35039 J. Partial Differ. Equations 32, No. 3, 207-228 (2019). MSC: 35B32 35B35 35K57 92D25 PDFBibTeX XMLCite \textit{H. Ouedraogo} et al., J. Partial Differ. Equations 32, No. 3, 207--228 (2019; Zbl 1449.35039) Full Text: DOI
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua Survival and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment. (English) Zbl 1428.92097 Appl. Math. Comput. 347, 249-264 (2019). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{X. Yu} et al., Appl. Math. Comput. 347, 249--264 (2019; Zbl 1428.92097) Full Text: DOI
Braselton, James P.; Abell, Martha L. Competition in the chemostat with an undesirable lethal competitor. (English) Zbl 1425.92207 Math. Biosci. 310, 136-147 (2019). MSC: 92D40 PDFBibTeX XMLCite \textit{J. P. Braselton} and \textit{M. L. Abell}, Math. Biosci. 310, 136--147 (2019; Zbl 1425.92207) Full Text: DOI
Wang, Qiongyan; Zhao, Chun Stability analysis of a mutually-symbiotic cooperative system with feedback control under the influence of toxins. (Chinese. English summary) Zbl 1438.34166 J. Tianjin Norm. Univ., Nat. Sci. Ed. 39, No. 2, 1-6 (2019). MSC: 34C60 34D20 93B52 92D25 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{C. Zhao}, J. Tianjin Norm. Univ., Nat. Sci. Ed. 39, No. 2, 1--6 (2019; Zbl 1438.34166) Full Text: DOI
Jia, Dongxue; Zhang, Tonghua; Yuan, Sanling Pattern dynamics of a diffusive toxin producing phytoplankton-zooplankton model with three-dimensional patch. (English) Zbl 1411.35257 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 4, Article ID 1930011, 19 p. (2019). MSC: 35Q92 35K57 92D25 35B36 35B32 35B10 35B35 PDFBibTeX XMLCite \textit{D. Jia} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 4, Article ID 1930011, 19 p. (2019; Zbl 1411.35257) Full Text: DOI
Shan, Chunhua; Huang, Qihua Direct and indirect effects of toxins on competition dynamics of species in an aquatic environment. (English) Zbl 1409.92271 J. Math. Biol. 78, No. 3, 739-766 (2019). MSC: 92D40 92D25 34C23 PDFBibTeX XMLCite \textit{C. Shan} and \textit{Q. Huang}, J. Math. Biol. 78, No. 3, 739--766 (2019; Zbl 1409.92271) Full Text: DOI
Pan, Yi; Wang, Shiyuan; Zhang, Qi; Lu, Qianzi; Su, Dongqing; Zuo, Yongchun; Yang, Lei Analysis and prediction of animal toxins by various Chou’s pseudo components and reduced amino acid compositions. (English) Zbl 1406.92205 J. Theor. Biol. 462, 221-229 (2019). MSC: 92C40 68T05 PDFBibTeX XMLCite \textit{Y. Pan} et al., J. Theor. Biol. 462, 221--229 (2019; Zbl 1406.92205) Full Text: DOI
Zhang, Jia-Fang; Wang, Shaoli; Kong, Xiangjun Effects of toxin delay on the dynamics of a phytoplankton-zooplankton model. (English) Zbl 1514.92105 Physica A 505, 1150-1162 (2018). MSC: 92D25 34C23 34C25 34D20 PDFBibTeX XMLCite \textit{J.-F. Zhang} et al., Physica A 505, 1150--1162 (2018; Zbl 1514.92105) Full Text: DOI
Feng, Qinghong Persistence and stability of a diffusion system with saturation term and toxin term. (Chinese. English summary) Zbl 1438.35217 J. Wuhan Univ., Nat. Sci. Ed. 64, No. 5, 448-452 (2018). MSC: 35K51 35B35 35K58 PDFBibTeX XMLCite \textit{Q. Feng}, J. Wuhan Univ., Nat. Sci. Ed. 64, No. 5, 448--452 (2018; Zbl 1438.35217) Full Text: DOI
Jiao, Jianjun; Li, Limei Dynamics of a single population model with instantaneous and non-instantaneous birth pulse in a polluted environment. (Chinese. English summary) Zbl 1438.34149 J. Nanjing Norm. Univ., Nat. Sci. Ed. 41, No. 4, 1-6 (2018). MSC: 34C60 34A37 34D20 92D25 34D05 PDFBibTeX XMLCite \textit{J. Jiao} and \textit{L. Li}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 41, No. 4, 1--6 (2018; Zbl 1438.34149) Full Text: DOI
Jiao, Jianjun; Zeng, Xixuan; Li, Limei Dynamics of a switched stage-structured single population model with pulse input toxin and birth pulse. (Chinese. English summary) Zbl 1438.34150 J. Math., Wuhan Univ. 38, No. 6, 1066-1074 (2018). MSC: 34C60 34D20 92D25 34A37 34D05 34H05 PDFBibTeX XMLCite \textit{J. Jiao} et al., J. Math., Wuhan Univ. 38, No. 6, 1066--1074 (2018; Zbl 1438.34150) Full Text: DOI
Pramanick, Sanchayita; Chatterjee, Anal; Pal, Samares Interspecies competition between phytoplankton and zooplankton in marine ecosystem. (English) Zbl 1418.92225 Nonlinear Stud. 25, No. 4, 867-882 (2018). MSC: 92D40 92D25 34C23 PDFBibTeX XMLCite \textit{S. Pramanick} et al., Nonlinear Stud. 25, No. 4, 867--882 (2018; Zbl 1418.92225) Full Text: Link
Ouedraogo, Hamidou; Ouedraogo, Wendkouni; Sangaré, Boureima A self-diffusion mathematical model to describe the toxin effect on the zooplankton-phytoplankton dynamics. (English) Zbl 1433.92039 Nonlinear Dyn. Syst. Theory 18, No. 4, 392-408 (2018). MSC: 92D25 35Q92 34D23 PDFBibTeX XMLCite \textit{H. Ouedraogo} et al., Nonlinear Dyn. Syst. Theory 18, No. 4, 392--408 (2018; Zbl 1433.92039) Full Text: Link
Wang, Lulu; Jin, Zhen; Wang, Hao A switching model for the impact of toxins on the spread of infectious diseases. (English) Zbl 1398.92258 J. Math. Biol. 77, No. 4, 1093-1115 (2018). MSC: 92D30 93D20 34C23 34D23 92D40 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Math. Biol. 77, No. 4, 1093--1115 (2018; Zbl 1398.92258) Full Text: DOI
Yu, Xingwang; Yuan, Sanling; Zhang, Tonghua The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms. (English) Zbl 1390.92129 Nonlinear Dyn. 91, No. 3, 1653-1668 (2018). MSC: 92D25 37N25 37A25 PDFBibTeX XMLCite \textit{X. Yu} et al., Nonlinear Dyn. 91, No. 3, 1653--1668 (2018; Zbl 1390.92129) Full Text: DOI
Huang, Qihua; Seo, Gunog; Shan, Chunhua Bifurcations and global dynamics in a toxin-dependent aquatic population model. (English) Zbl 1380.92053 Math. Biosci. 296, 26-35 (2018). MSC: 92D25 34C23 PDFBibTeX XMLCite \textit{Q. Huang} et al., Math. Biosci. 296, 26--35 (2018; Zbl 1380.92053) Full Text: DOI
Zhang, Shuanghong; Zhang, Qingling; Qiao, Liang; Ren, Junchao; Liu, Chao; Feng, Yifu Fuzzy optimal guaranteed cost control of a single species model with stage-structure in toxic environment. (English) Zbl 1377.91133 J. Intell. Fuzzy Syst. 33, No. 4, 2415-2426 (2017). MSC: 91B76 92D25 PDFBibTeX XMLCite \textit{S. Zhang} et al., J. Intell. Fuzzy Syst. 33, No. 4, 2415--2426 (2017; Zbl 1377.91133) Full Text: DOI
Yoon, Dennis J.; Chen, Kevin Y.; Lopes, André M.; Pan, April A.; Shiloach, Joseph; Mason, Anne B.; Kamei, Daniel T. Mathematical modeling of mutant transferrin-CRM107 molecular conjugates for cancer therapy. (English) Zbl 1368.92078 J. Theor. Biol. 416, 88-98 (2017). MSC: 92C45 92C50 PDFBibTeX XMLCite \textit{D. J. Yoon} et al., J. Theor. Biol. 416, 88--98 (2017; Zbl 1368.92078) Full Text: DOI Link
Li, Juan; Song, Yongzhong; Wan, Hui; Zhu, Huaiping Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge. (English) Zbl 1362.92064 Math. Biosci. Eng. 14, No. 2, 529-557 (2017). MSC: 92D25 92D40 34C23 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Biosci. Eng. 14, No. 2, 529--557 (2017; Zbl 1362.92064) Full Text: DOI
Lv, Yun-fei; Li, Tongtong; Pei, Yongzhen; Yuan, Rong A complete analysis of the global dynamics of a diffusive predator and toxic prey model. (English) Zbl 1410.37077 Appl. Math. Comput. 291, 182-196 (2016). MSC: 37N25 92D25 92D40 PDFBibTeX XMLCite \textit{Y.-f. Lv} et al., Appl. Math. Comput. 291, 182--196 (2016; Zbl 1410.37077) Full Text: DOI
Zhang, Shuanghong; Zhang, Qingling; Liu, Chao Optimal harvesting of fishing aquaculture in the environment with prymnesiacee toxin. (English) Zbl 1348.91226 J. Biol. Syst. 24, No. 2-3, 237-255 (2016). MSC: 91B76 49N90 PDFBibTeX XMLCite \textit{S. Zhang} et al., J. Biol. Syst. 24, No. 2--3, 237--255 (2016; Zbl 1348.91226) Full Text: DOI
Huang, Qihua; Wang, Hao A toxin-mediated size-structured population model: finite difference approximation and well-posedness. (English) Zbl 1352.35203 Math. Biosci. Eng. 13, No. 4, 697-722 (2016). MSC: 35Q92 35L04 35D30 35F20 65M06 65Z99 92D40 PDFBibTeX XMLCite \textit{Q. Huang} and \textit{H. Wang}, Math. Biosci. Eng. 13, No. 4, 697--722 (2016; Zbl 1352.35203) Full Text: DOI
Xie, Ruijun; Yuan, Rong Dynamics of a population model with impulsive toxin input and distributed maturation delay. (Chinese. English summary) Zbl 1363.92045 Math. Pract. Theory 46, No. 6, 213-222 (2016). MSC: 92D25 34K20 34K13 PDFBibTeX XMLCite \textit{R. Xie} and \textit{R. Yuan}, Math. Pract. Theory 46, No. 6, 213--222 (2016; Zbl 1363.92045)
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
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
Huang, Qihua; Wang, Hao; Lewis, Mark A. The impact of environmental toxins on predator-prey dynamics. (English) Zbl 1343.92539 J. Theor. Biol. 378, 12-30 (2015). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{Q. Huang} et al., J. Theor. Biol. 378, 12--30 (2015; Zbl 1343.92539) Full Text: DOI
Zhang, Cun-Hua; Yan, Xiang-Ping Formation of time patterns in a diffusive plant-herbivore system with toxin-determined functional response. (English) Zbl 1326.35409 Int. J. Biomath. 8, No. 4, Article ID 1550051, 19 p. (2015). MSC: 35Q92 35B35 35B40 35K57 92D40 35B10 92C80 35B32 PDFBibTeX XMLCite \textit{C.-H. Zhang} and \textit{X.-P. Yan}, Int. J. Biomath. 8, No. 4, Article ID 1550051, 19 p. (2015; Zbl 1326.35409)
Chakraborty, Subhendu; Tiwari, P. K.; Misra, A. K.; Chattopadhyay, J. Spatial dynamics of a nutrient-phytoplankton system with toxic effect on phytoplankton. (English) Zbl 1371.92133 Math. Biosci. 264, 94-100 (2015). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{S. Chakraborty} et al., Math. Biosci. 264, 94--100 (2015; Zbl 1371.92133) Full Text: DOI
Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex; Gray, Peter Toxin effect on protein biosynthesis in eukaryotic cells: a simple kinetic model. (English) Zbl 1315.92032 Math. Biosci. 261, 83-90 (2015). MSC: 92C40 92C37 PDFBibTeX XMLCite \textit{V. Skakauskas} et al., Math. Biosci. 261, 83--90 (2015; Zbl 1315.92032) Full Text: DOI
Feng, Zhilan; Glasser, John W.; Hill, Andrew N.; Franko, Mikael A.; Carlsson, Rose-Marie; Hallander, Hans; Tüll, Peet; Olin, Patrick Modeling rates of infection with transient maternal antibodies and waning active immunity: application to Bordetella pertussis in Sweden. (English) Zbl 1412.92278 J. Theor. Biol. 356, 123-132 (2014). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{Z. Feng} et al., J. Theor. Biol. 356, 123--132 (2014; Zbl 1412.92278) Full Text: DOI
Jang, Sophia; Baglama, James; Wu, Li Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton. (English) Zbl 1365.92093 Appl. Math. Comput. 227, 717-740 (2014). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{S. Jang} et al., Appl. Math. Comput. 227, 717--740 (2014; Zbl 1365.92093) Full Text: DOI
Dong, Xiaoyang; Kojouharov, Hristo V.; Grover, James P. Mathematical models of nutrient recycling and toxin production in a gradostat. (English) Zbl 1362.92090 Comput. Math. Appl. 68, No. 9, 972-985 (2014). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{X. Dong} et al., Comput. Math. Appl. 68, No. 9, 972--985 (2014; Zbl 1362.92090) Full Text: DOI
Zhang, Cun-Hua; Li, Zhi-Zhen Dynamics in a diffusive plant-herbivore model with toxin-determined functional response. (English) Zbl 1347.37140 Comput. Math. Appl. 67, No. 8, 1439-1449 (2014). MSC: 37N25 92D25 37L10 37L15 37G10 35K57 PDFBibTeX XMLCite \textit{C.-H. Zhang} and \textit{Z.-Z. Li}, Comput. Math. Appl. 67, No. 8, 1439--1449 (2014; Zbl 1347.37140) Full Text: DOI
Katauskis, Pranas; Malakauskaitė, Silvija Numerical study of a toxin and antibody interaction inside the cell. (English) Zbl 1369.92034 Liet. Mat. Rink., Proc. Lith. Math. Soc., Ser. A 55, 7-12 (2014). MSC: 92C40 PDFBibTeX XMLCite \textit{P. Katauskis} and \textit{S. Malakauskaitė}, Liet. Mat. Rink., Proc. Lith. Math. Soc., Ser. A 55, 7--12 (2014; Zbl 1369.92034) Full Text: DOI
Lv, Yunfei; Cao, Jianzhi; Song, Juan; Yuan, Rong; Pei, Yongzhen Global stability and Hopf-bifurcation in a zooplankton-phytoplankton model. (English) Zbl 1319.92045 Nonlinear Dyn. 76, No. 1, 345-366 (2014). MSC: 92D25 37N25 92D40 PDFBibTeX XMLCite \textit{Y. Lv} et al., Nonlinear Dyn. 76, No. 1, 345--366 (2014; Zbl 1319.92045) Full Text: DOI
Ambrazevičius, A. The reaction-diffusion problem with dynamical boundary condition. (English) Zbl 1284.35222 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 568-579 (2014). MSC: 35K57 35K51 35Q92 35A09 PDFBibTeX XMLCite \textit{A. Ambrazevičius}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 568--579 (2014; Zbl 1284.35222) Full Text: DOI
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
Zhang, Fengpan; Gao, Jingli; Liu, Zhiguang; Sun, Dingqian Dynamics of predator-prey of plankton with time delay of toxin. (Chinese. English summary) Zbl 1330.34128 J. Henan Univ., Nat. Sci. 43, No. 3, 221-225 (2013). MSC: 34K60 34K18 34K13 92D25 PDFBibTeX XMLCite \textit{F. Zhang} et al., J. Henan Univ., Nat. Sci. 43, No. 3, 221--225 (2013; Zbl 1330.34128)
Spohn, Wolfgang Reversing 30 years of discussion: why causal decision theorists should one-box. (English) Zbl 1275.91043 Synthese 187, No. 1, 95-122 (2012). MSC: 91B06 03B48 PDFBibTeX XMLCite \textit{W. Spohn}, Synthese 187, No. 1, 95--122 (2012; Zbl 1275.91043) Full Text: DOI
Castillo-Chavez, Carlos; Feng, Zhilan; Huang, Wenzhang Global dynamics of a plant-herbivore model with toxin-determined functional response. (English) Zbl 1279.37048 SIAM J. Appl. Math. 72, No. 4, 1002-1020 (2012). MSC: 37N25 92D25 34D23 PDFBibTeX XMLCite \textit{C. Castillo-Chavez} et al., SIAM J. Appl. Math. 72, No. 4, 1002--1020 (2012; Zbl 1279.37048) Full Text: DOI Link
Nie, Hua; Wu, Jianhua The effect of toxins on the plasmid-bearing and plasmid-free model in the unstirred chemostat. (English) Zbl 1235.35276 Discrete Contin. Dyn. Syst. 32, No. 1, 303-329 (2012). MSC: 35Q92 92B05 35B09 PDFBibTeX XMLCite \textit{H. Nie} and \textit{J. Wu}, Discrete Contin. Dyn. Syst. 32, No. 1, 303--329 (2012; Zbl 1235.35276) Full Text: DOI
Khan, Najeeb Alam; Ara, Asmat; Jamil, Muhammad Approximations of the nonlinear Volterra’s population model by an efficient numerical method. (English) Zbl 1223.92047 Math. Methods Appl. Sci. 34, No. 14, 1733-1738 (2011). MSC: 92D25 34K28 45D05 45J05 65L03 PDFBibTeX XMLCite \textit{N. A. Khan} et al., Math. Methods Appl. Sci. 34, No. 14, 1733--1738 (2011; Zbl 1223.92047) Full Text: DOI
Chaudhuri, Sanjay; Chakraborty, Subhendu; Chattopadhyay, J. The effect of costs associated with toxin production in a competitive system. (English) Zbl 1219.92061 J. Biol. Dyn. 5, No. 4, 318-334 (2011). MSC: 92D40 PDFBibTeX XMLCite \textit{S. Chaudhuri} et al., J. Biol. Dyn. 5, No. 4, 318--334 (2011; Zbl 1219.92061) Full Text: DOI
Roy, Shovonlal The coevolution of two phytoplankton species on a single resource: allelopathy as a pseudo-mixotrophy. (English) Zbl 1210.92058 Theor. Popul. Biol. 75, No. 1, 68-75 (2009). MSC: 92D40 37N25 PDFBibTeX XMLCite \textit{S. Roy}, Theor. Popul. Biol. 75, No. 1, 68--75 (2009; Zbl 1210.92058) Full Text: DOI
Liu, Bing; Zhang, Lei; Zhang, Qian The effects of a single stage-structured population model with impulsive toxin input and time delays in a polluted environment. (English) Zbl 1187.34118 Appl. Anal. 88, No. 8, 1143-1155 (2009). Reviewer: Xinyu Song (Xinyang) MSC: 34K60 34K45 92D40 PDFBibTeX XMLCite \textit{B. Liu} et al., Appl. Anal. 88, No. 8, 1143--1155 (2009; Zbl 1187.34118) Full Text: DOI
Chatterjee, Samrat; Venturino, Ezio; Chakraborty, Subhendu; Chattopadhyay, Joydev A simple mathematical model for seasonal planktonic blooms. (English) Zbl 1172.92032 Math. Methods Appl. Sci. 32, No. 13, 1738-1750 (2009). MSC: 92D40 37N25 65P40 PDFBibTeX XMLCite \textit{S. Chatterjee} et al., Math. Methods Appl. Sci. 32, No. 13, 1738--1750 (2009; Zbl 1172.92032) Full Text: DOI
Lou, Chunbo; Li, Zhengyan; Ouyang, Qi A molecular model for persister in E. coli. (English) Zbl 1400.92438 J. Theor. Biol. 255, No. 2, 205-209 (2008). MSC: 92D25 92D10 PDFBibTeX XMLCite \textit{C. Lou} et al., J. Theor. Biol. 255, No. 2, 205--209 (2008; Zbl 1400.92438) Full Text: DOI
Upadhyay, R. K. Chaotic dynamics in a three species aquatic population model with Holling type II functional response. (English) Zbl 1170.93308 Nonlinear Anal., Model. Control 13, No. 1, 103-115 (2008). MSC: 93A30 92D25 92D40 37D45 93C15 93C10 PDFBibTeX XMLCite \textit{R. K. Upadhyay}, Nonlinear Anal., Model. Control 13, No. 1, 103--115 (2008; Zbl 1170.93308)
Xue, Yakui; Shan, Hua The threshold of survival for 3-D food web system under pulse input of toxin in a polluted environment. (English) Zbl 1160.34331 Far East J. Math. Sci. (FJMS) 29, No. 1, 127-144 (2008). Reviewer: Stepan Kostadinov (Plovdiv) MSC: 34C60 34A37 34D05 92D25 PDFBibTeX XMLCite \textit{Y. Xue} and \textit{H. Shan}, Far East J. Math. Sci. (FJMS) 29, No. 1, 127--144 (2008; Zbl 1160.34331) Full Text: Link
Jang, Sophia R.-J.; Baglama, James; Rick, Johannes Plankton-toxin interaction with a variable input nutrient. (English) Zbl 1140.92321 J. Biol. Dyn. 2, No. 1, 14-30 (2008). MSC: 92D40 34C60 37N25 65C20 PDFBibTeX XMLCite \textit{S. R. J. Jang} et al., J. Biol. Dyn. 2, No. 1, 14--30 (2008; Zbl 1140.92321) Full Text: DOI
Chowdhury, Tanmay; Roy, Shovonlal; Chattopadhyay, J. Modeling migratory grazing of zooplankton on toxic and non-toxic phytoplankton. (English) Zbl 1131.92059 Appl. Math. Comput. 197, No. 2, 659-671 (2008). MSC: 92D40 34D99 PDFBibTeX XMLCite \textit{T. Chowdhury} et al., Appl. Math. Comput. 197, No. 2, 659--671 (2008; Zbl 1131.92059) Full Text: DOI
Evans, Thomas; Bowers, Roger G.; Mortimer, Martin Modelling the stability of Stx lysogens. (English) Zbl 1451.92199 J. Theor. Biol. 248, No. 2, 241-250 (2007). MSC: 92C70 PDFBibTeX XMLCite \textit{T. Evans} et al., J. Theor. Biol. 248, No. 2, 241--250 (2007; Zbl 1451.92199) Full Text: DOI
Zhu, Lemin; Huang, Xuncheng; Su, Houqin Bifurcation for a functional yield chemostat when one competitor produces a toxin. (English) Zbl 1153.37458 J. Math. Anal. Appl. 329, No. 2, 891-903 (2007). MSC: 37N25 34C23 92D25 PDFBibTeX XMLCite \textit{L. Zhu} et al., J. Math. Anal. Appl. 329, No. 2, 891--903 (2007; Zbl 1153.37458) Full Text: DOI
Mordvitsev, D. Yu.; Polyak, Ya. L.; Kuzmin, D. A.; Levtsova, O. V.; Tourleigh, Ye. V.; Utkin, Yu. N.; Shaitan, K. V.; Tsetlin, V. I. Computer modeling of binding of diverse weak toxins to nicotinic acetylcholine receptors. (English) Zbl 1124.92017 Comput. Biol. Chem. 31, No. 2, 72-81 (2007). MSC: 92C40 PDFBibTeX XMLCite \textit{D. Yu. Mordvitsev} et al., Comput. Biol. Chem. 31, No. 2, 72--81 (2007; Zbl 1124.92017) Full Text: DOI
Roy, Shovonlal; Alam, S.; Chattopadhyay, J. Competing effects of toxin-producing phytoplankton on overall plankton populations in the Bay of Bengal. (English) Zbl 1296.92236 Bull. Math. Biol. 68, No. 8, 2303-2320 (2006). MSC: 92D40 PDFBibTeX XMLCite \textit{S. Roy} et al., Bull. Math. Biol. 68, No. 8, 2303--2320 (2006; Zbl 1296.92236) 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
Gakkhar, Sunita; Negi, Kuldeep A mathematical model for viral infection in toxin producing phytoplankton and zooplankton system. (English) Zbl 1096.92042 Appl. Math. Comput. 179, No. 1, 301-313 (2006). MSC: 92D40 34D05 34C23 65C20 PDFBibTeX XMLCite \textit{S. Gakkhar} and \textit{K. Negi}, Appl. Math. Comput. 179, No. 1, 301--313 (2006; Zbl 1096.92042) Full Text: DOI
Huang, Xuncheng; Wang, Yuanming; Zhu, Lemin Competition in the bioreactor with general quadratic yields when one competitor produces a toxin. (English) Zbl 1096.92045 J. Math. Chem. 39, No. 2, 281-294 (2006). MSC: 92D40 34C05 92C40 34C23 34C60 PDFBibTeX XMLCite \textit{X. Huang} et al., J. Math. Chem. 39, No. 2, 281--294 (2006; Zbl 1096.92045) Full Text: DOI
Jang, S. R.-J.; Baglama, J.; Rick, J. Nutrient-phytoplankton-zooplankton models with a toxin. (English) Zbl 1086.92053 Math. Comput. Modelling 43, No. 1-2, 105-118 (2006). MSC: 92D40 37N25 34C60 34D23 34D05 PDFBibTeX XMLCite \textit{S. R. J. Jang} et al., Math. Comput. Modelling 43, No. 1--2, 105--118 (2006; Zbl 1086.92053) Full Text: DOI
Mordvintsev, D. Yu.; Polyak, Ya. L.; Levtsova, O. V.; Tourleight, Ye. V.; Kasheverov, I. E.; Shaitan, K. V.; Utkin, Yu. N.; Tsetlin, V. I. A model for short \(\alpha\)-neurotoxin bound to nicotinic acetylcholine receptor from Torpedo californica: Comparison with long-chain \(\alpha\)-neurotoxins and \(\alpha\)-conotoxins. (English) Zbl 1108.92301 Comput. Biol. Chem. 29, No. 6, 398-411 (2005). MSC: 92C40 92C50 PDFBibTeX XMLCite \textit{D. Yu. Mordvintsev} et al., Comput. Biol. Chem. 29, No. 6, 398--411 (2005; Zbl 1108.92301) Full Text: DOI
Peterson, James; Khan, Taufiquar Abstract action potential models for toxin recognition. (English) Zbl 1095.92016 J. Theor. Med. 6, No. 4, 199-234 (2005). MSC: 92C20 68T10 92C37 92C05 PDFBibTeX XMLCite \textit{J. Peterson} and \textit{T. Khan}, J. Theor. Med. 6, No. 4, 199--234 (2005; Zbl 1095.92016) Full Text: DOI EuDML
Sarkar, R. R.; Chattopadhayay, J. Occurrence of planktonic blooms under environmental fluctuations and its possible control mechanism – mathematical models and experimental observations. (English) Zbl 1465.92098 J. Theor. Biol. 224, No. 4, 501-516 (2003). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{R. R. Sarkar} and \textit{J. Chattopadhayay}, J. Theor. Biol. 224, No. 4, 501--516 (2003; Zbl 1465.92098) Full Text: DOI
Chattopadhyay, J.; Sarkar, R. R.; El Abdllaoui, A. A delay differential equation model on harmful algal blooms in the presence of toxic substances. (English) Zbl 1013.92046 IMA J. Math. Appl. Med. Biol. 19, No. 2, 137-161 (2002). MSC: 92D40 34K20 34K18 PDFBibTeX XMLCite \textit{J. Chattopadhyay} et al., IMA J. Math. Appl. Med. Biol. 19, No. 2, 137--161 (2002; Zbl 1013.92046)
Lee, Mei-Ling Ting; Whitmore, G. A. Statistical inference for serial dilution assay data. (English) Zbl 1059.62670 Biometrics 55, No. 4, 1215-1220 (1999). MSC: 62P10 62N02 PDFBibTeX XMLCite \textit{M.-L. T. Lee} and \textit{G. A. Whitmore}, Biometrics 55, No. 4, 1215--1220 (1999; Zbl 1059.62670) Full Text: DOI
Hirakawa, Hirofumi Diet optimization with a nutrient or toxin constraint. (English) Zbl 0843.92023 Theor. Popul. Biol. 47, No. 3, 331-346 (1995). MSC: 92D40 PDFBibTeX XMLCite \textit{H. Hirakawa}, Theor. Popul. Biol. 47, No. 3, 331--346 (1995; Zbl 0843.92023) Full Text: DOI
McElwain, D. L. S. Scaling as a tool for the analysis of biological models. (With comments). (English) Zbl 0761.92030 Dynamics of complex interconnected biological systems, Proc. Workshop, Albany/Australia 1989, Math. Modeling 6, 204-217 (1990). MSC: 92D25 65J99 92D40 34E10 PDFBibTeX XMLCite \textit{D. L. S. McElwain}, in: Dynamics of complex interconnected biological systems. Proceedings of the US Australia workshop, held in Albany, Western Australia, January 1-5, 1989. Boston, MA etc.: Birkhäuser. 204--217 (1990; Zbl 0761.92030)
Schoenfeld, David A. Confidence bounds for normal means under order restrictions, with application to dose-response curves, toxicology experiments, and low-dose extrapolation. (English) Zbl 0587.62194 J. Am. Stat. Assoc. 81, 186-195 (1986). MSC: 62P10 62F25 62J99 PDFBibTeX XMLCite \textit{D. A. Schoenfeld}, J. Am. Stat. Assoc. 81, 186--195 (1986; Zbl 0587.62194) Full Text: DOI
Antonelli, Peter L. Toxin production in planktonic communities. (English) Zbl 0603.92020 Acta Cient. Venez. 36, 303-305 (1985). MSC: 92D40 92Cxx PDFBibTeX XMLCite \textit{P. L. Antonelli}, Acta Cient. Venez. 36, 303--305 (1985; Zbl 0603.92020)
Vincent, Thomas L.; Pulliam, H. Ronald Evolution of life history strategies for an asexual annual plant model. (English) Zbl 0444.92017 Theor. Popul. Biol. 17, 215-231 (1980). MSC: 92D40 49J30 49J15 PDFBibTeX XMLCite \textit{T. L. Vincent} and \textit{H. R. Pulliam}, Theor. Popul. Biol. 17, 215--231 (1980; Zbl 0444.92017) Full Text: DOI