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Freedman, Herbert Irving

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 Author ID: freedman.herbert-i Published as: Freedman, H.; Freedman, H. I.; Freedman, Herb I.; Freedman, Herbert I. External Links: MGP
 Documents Indexed: 163 Publications since 1968, including 5 Books Biographic References: 1 Publication
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Co-Authors

 17 single-authored 15 Waltman, Paul Elvis 10 Erbe, Lynn Harry 10 Wu, Jianhong 8 So, Joseph Wai-Hung 7 Butler, Geoffrey J. 7 Rai, Bindhyachal 6 Rao, Vadrevu Sree Hari 5 Ruan, Shigui 4 Addicott, John F. 4 Baggs, Ivan 4 Kuang, Yang 4 Kumar, Ravinder 4 Martynyuk, Anatoliĭ Andriĭovych 4 Pinho, Suani T. R. 4 Solomonovich, Mark 3 Agyemang, Ibrahim 3 Aiello, Walter G. 3 Apedaile, L. P. 3 Cao, Yulin 3 Liu, Wenxiang 3 Shukla, Jang Bahadur 3 Takeuchi, Yasuhiro 2 Agarwal, Manju Lata 2 Belostotski, G. 2 Easton, Alan K. 2 Farkas, Miklós 2 Gatica, Juan A. 2 Gopalsamy, Kondalsamy 2 Kong, Qingkai 2 Krisztin, Tibor 2 Liu, Xinzhi 2 Moson, Peter 2 Nani, Frank K. 2 Peng, Qiuliang 2 Schilizzi, S. G. M. 2 Singh, Manmohan 2 Wolkowicz, Gail S. K. 2 Zhang, Shenghai 2 Zhao, Xiao-Qiang 1 Andrade, Roberto Fernandes Silva 1 Apedaille, L. P. 1 Bacelar, Flora S. 1 Belostotski, Leonid 1 Cui, Guodong 1 Devi, Sapna 1 Fatima, Tazeen 1 Fomenko, Igor V. 1 Franko, A. J. 1 Gard, Thomas C. 1 Gebremedihen, A. H. 1 Hadeler, Karl-Peter 1 Hailu, Abraham 1 Hillen, Thomas 1 Jayalakshmi, K. 1 Lawson, J. Douglas 1 Ma, Zhien 1 Macki, Jack W. 1 Mallet-Paret, John Joseph 1 Manetto, L. 1 Mathsen, Ronald M. 1 Miller, Richard K. 1 Nani, F. 1 Peng, Qui-Liang 1 Pickl, Stefan Wolfgang 1 Quan, Hongshun 1 Riemenschneider, Sherman D. 1 Smith, Hal Leslie 1 Strobeck, Curtis 1 Tang, Moxun 1 Wang, Hao 1 Weng, Xiaoqing 1 Xia, Huaxing 1 Xu, Yuantong 1 Yang, Feng
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Serials

 18 Mathematical Biosciences 13 The Canadian Applied Mathematics Quarterly 9 Bulletin of Mathematical Biology 8 Mathematical and Computer Modelling 7 Journal of Mathematical Analysis and Applications 7 Rocky Mountain Journal of Mathematics 7 SIAM Journal on Applied Mathematics 6 Journal of Mathematical Biology 6 Nonlinear Analysis. Theory, Methods & Applications 4 Canadian Mathematical Bulletin 4 Differential Equations and Dynamical Systems 3 Journal of Differential Equations 2 Journal of the Australian Mathematical Society, Series B 2 Applied Mathematics and Computation 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Theoretical Population Biology 2 Utilitas Mathematica 2 Differential and Integral Equations 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 Natural Resource Modeling 2 Nonlinear Analysis. Real World Applications 2 Nonlinear Dynamics and Systems Theory 1 Applicable Analysis 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Applied Mathematics Notes 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indian Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 The Journal of Mathematical Sociology 1 Transactions of the American Mathematical Society 1 Analysis 1 Acta Applicandae Mathematicae 1 Journal of Integral Equations and Applications 1 Aequationes Mathematicae 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Russian Academy of Sciences. Doklady. Mathematics 1 Far East Journal of Mathematical Sciences 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 International Journal of Pure and Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Mathematical Biosciences and Engineering 1 Lecture Notes in Biomathematics 1 Pure and Applied Mathematics, Marcel Dekker 1 Journal of Biological Dynamics 1 International Journal of Biomathematics
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Fields

 130 Biology and other natural sciences (92-XX) 104 Ordinary differential equations (34-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Partial differential equations (35-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 General and overarching topics; collections (00-XX) 4 Systems theory; control (93-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX)

Citations contained in zbMATH

130 Publications have been cited 4,385 times in 2,778 Documents Cited by Year
Deterministic mathematical models in population ecology. Zbl 0448.92023
Freedman, H. I.
1980
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
1990
Analysis of a model representing stage-structured population growth with state-dependent time delay. Zbl 0760.92018
Aiello, Walter G.; Freedman, H. I.; Wu, J.
1992
Uniformly persistent systems. Zbl 0603.34043
Butler, Geoffrey; Freedman, H. I.; Waltman, Paul
1986
Persistence in models of three interacting predator-prey populations. Zbl 0534.92026
Freedman, H. I.; Waltman, Paul
1984
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
1989
Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033
Freedman, H. I.; Ruan, Shigui; Tang, Moxun
1994
Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016
Kuang, Yang; Freedman, H. I.
1988
The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
Freedman, H. I.; Sree Hari Rao, V.
1983
Periodic solutions of single-species models with periodic delay. Zbl 0764.92016
Freedman, H. I.; Wu, Jianhong
1992
Global stability and persistence of simple food chains. Zbl 0572.92025
Freedman, H. I.; So, J. W.-H.
1985
Mathematical analysis of some three-species food-chain models. Zbl 0363.92022
Freedman, H. I.; Waltman, Paul
1977
Uniform persistence in functional differential equations. Zbl 0814.34064
Freedman, H. I.; Ruan, Shigui
1995
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
1986
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
1985
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
1991
Persistence and global asymptotic stability of single species dispersal models with stage structure. Zbl 0732.92021
Freedman, H. I.; Wu, J. H.
1991
Graphical stability, enrichment, and pest control by a natural enemy. Zbl 0373.92023
Freedman, H. I.
1976
Global stability and predator dynamics in a model of prey dispersal in a patchy environment. Zbl 0685.92018
Freedman, H. I.; Takeuchi, Y.
1989
Comparison principles for impulsive parabolic equations with applications to models of single species growth. Zbl 0881.35006
Erbe, L. H.; Freedman, H. I.; Liu, X. Z.; Wu, Jianhong
1991
Coexistence in a model of competition in the chemostat incorporating discrete delays. Zbl 0676.92013
Freedman, H. I.; So, Joseph W.-H.; Waltman, Paul
1989
A model of predator-prey dynamics as modified by the action of a parasite. Zbl 0698.92024
Freedman, H. I.
1990
Persistence definitions and their connections. Zbl 0695.34049
Freedman, H. I.; Moson, P.
1990
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
1986
Mathematical models of population interactions with dispersal. I: Stability of two habitats with and without a predator. Zbl 0362.92006
Freedman, H. I.; Waltman, Paul
1977
Stability switches in linear scalar neutral delay equations. Zbl 0749.34045
Freedman, H. I.; Kuang, Y.
1991
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
1993
Three-species food-chain models with mutual interference and time delays. Zbl 0592.92024
Erbe, L. H.; Freedman, H. I.; Sree Hari Rao, V.
1986
Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016
Freedman, H. I.
1979
A mathematical model of cancer treatment by immunotherapy. Zbl 0997.92024
Nani, Frank; Freedman, H. I.
2000
Mathematical models of population interactions with dispersal. II: Differential survival in a change of habitat. Zbl 0588.92020
Freedman, H. I.; Rai, Bindhyachal; Waltman, Paul
1986
Analysis of three species models of mutualism in predator-prey and competitive systems. Zbl 0532.92025
Rai, Bindhyachal; Freedman, H. I.; Addicott, John F.
1983
Stability criteria for a system involving two time delays. Zbl 0624.34066
Freedman, H. I.; Sree Hari Rao, V.
1986
A mathematical model of facultative mutualism with populations interacting in a food chain. Zbl 0695.92016
Kumar, Ravinder; Freedman, H. I.
1989
Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039
Freedman, H. I.; Ruan, Shigui
1992
Global asymptotics in some quasimonotone reaction-diffusion systems with delays. Zbl 0885.35050
Freedman, H. I.; Zhao, Xiao-Qiang
1997
Persistence in discrete semidynamical systems. Zbl 0676.92011
Freedman, H. I.; So, Joseph W.-H.
1989
Models of competition in the chemostat with instantaneous and delayed nutrient recycling. Zbl 0778.92022
Freedman, H. I.; Xu, Yuantong
1993
Predator survival versus extinction as a function of dispersal in a predator-prey model with patchy environment. Zbl 0641.92016
Freedman, H. I.; Takeuchi, Y.
1989
A chemotherapy model for the treatment of cancer with metastasis. Zbl 1021.92014
Pinho, S. T. R.; Freedman, H. I.; Nani, F.
2002
Competing predators for a prey in a chemostat model with periodic nutrient input. Zbl 0825.92124
Yang, Feng; Freedman, H. I.
1991
Population diffusion in a two-patch environment. Zbl 0672.92021
Freedman, H. I.; Shukla, J. B.; Takeuchi, Y.
1989
Interactions leading to persistence in predator-prey systems with group defence. Zbl 0673.92011
Freedman, H. I.; Quan, Hongshun
1988
A model for the growth of a population exhibiting stage structure: cannibalism and cooperation. Zbl 0821.34034
Freedman, H. I.; So, Joseph W.-H.; Wu, Jianhong
1994
Periodic solutions of a predator-prey system with periodic coefficients. Zbl 0471.92020
Butler, G. J.; Freedman, H. I.
1981
Predator influence on the growth of a population with three genotypes. Zbl 0393.92012
Freedman, H. I.; Waltman, Paul
1978
Monotone semiflows generated by neutral functional differential equations with application to compartmental systems. Zbl 0754.34081
Wu, Jianhong; Freedman, H. I.
1991
A mathematical model for the dynamics of interactions between a unilingual and a bilingual population: Persistence versus extinction. Zbl 0725.92027
Baggs, I.; Freedman, H. I.
1990
A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy. Zbl 1254.92049
Pinho, S. T. R.; Bacelar, F. S.; Andrade, R. F. S.; Freedman, H. I.
2013
Persistence in three-species food chain models with group defense. Zbl 0752.92027
Ruan, Shigui; Freedman, H. I.
1991
Functionally commutative matrices and matrices with constant eigenvectors. Zbl 0346.15003
Freedman, H. I.
1976
On endomorphisms of primary groups. Zbl 0157.35701
Freedman, H.
1968
Modeling persistence and mutual interference among subpopulations of ecological communities. Zbl 0571.92026
Erbe, L. H.; Freedman, H. I.
1985
Perturbation of two-dimensional predator-prey equations. Zbl 0313.92001
Freedman, H. I.; Waltman, P.
1975
Uniform persistence and global asymptotic stability in periodic single-species models of dispersal in a patchy environment. Zbl 0927.34027
Freedman, H. I.; Peng, Qui-Liang
1999
Uniqueness of limit cycles in Liénard-type equations. Zbl 0705.34038
Freedman, H. I.; Kuang, Y.
1990
Obligate mutualism with a predator: Stability and persistence of three- species models. Zbl 0638.92020
Freedman, H. I.; Addicott, John F.; Rai, Bindhyachal
1987
Global dynamics of a selection model for the growth of a population with genotypic fertility differences. Zbl 0499.92017
Butler, G. J.; Freedman, H. I.; Waltman, Paul
1982
Perturbation of two-dimensional predator-prey equations with an unperturbed critical point. Zbl 0326.92002
Freedman, H. I.; Waltman, P.
1975
Some global qualitative analyses of a single species neutral delay differential population model. Zbl 0831.34074
Freedman, H. I.; Kuang, Yang
1995
The effect of a predator resource on a diffusive predator prey system. Zbl 0850.92061
Freedman, H. I.; Shukla, J. B.
1989
The stable coexistence of competing species on a renewable resource. Zbl 0661.92021
Farkas, M.; Freedman, H. I.
1989
On the structure and stability of mutualistic systems: Analysis of predator-prey and competition models as modified by the action of a slow- growing mutualist. Zbl 0551.92018
Addicott, John F.; Freedman, H. I.
1984
The implicit function theorem in the scalar case. Zbl 0189.33801
Freedman, H. I.
1969
Analysis of stability and persistence in a ratio-dependent predator-prey resource model. Zbl 1342.92168
Freedman, H. I.; Agarwal, Manju; Devi, Sapna
2009
A mathematical model of vascular tumor treatment by chemotherapy. Zbl 1080.92045
Liu, Wenxiang; Freedman, H. I.
2005
Uniform persistence and global stability in models involving mutualism. II: Competitor-competitor-mutualist systems. Zbl 0673.92010
Freedman, H. I.; Rai, Bindhyachal
1988
A perturbed Kolmogorov-type model for the growth problem. Zbl 0321.92017
Freedman, H. I.
1975
On reaction-diffusion systems of zooplankton-phytoplankton-nutrient models. Zbl 0868.92026
Freedman, H. I.; Ruan, Shigui
1994
Periodic solutions of single species models with delay. Zbl 0794.34056
Freedman, H. I.; Xia, Huaxing
1994
Can the speakers of a dominated language survive as unilinguals? A mathematical model of bilingualism. Zbl 0792.92033
Baggs, I.; Freedman, H. I.
1993
Persistence in a predator-prey-competitor-mutualist model. Zbl 0626.92016
Freedman, H. I.; Rai, Bindhyachal
1987
Persistence and global stability in a predator-prey model consisting of three prey genotypes with fertility differences. Zbl 0624.92014
So, Joseph W.-H.; Freedman, H. I.
1986
Depletion of forestry resource biomass due to industrialization pressure: a ratio-dependent mathematical model. Zbl 1342.91023
Agarwal, Manju; Fatima, Tazeen; Freedman, H. I.
2010
A mathematical model for $$M$$-phase specific chemotherapy including the $$G_0$$-phase and immunoresponse. Zbl 1123.92014
Liu, Wenxiang; Hillen, Thomas; Freedman, H. I.
2007
A control theory model for cancer treatment by radiotherapy. Zbl 1092.92024
Belostotski, G.; Freedman, H. I.
2005
Analysis of a population model with space-dependent recruitment in continuous time. Zbl 0923.92022
Zhang, Shenghai; Freedman, H. I.; Liu, X. Z.
1999
Stability conditions for two predator one prey systems. Zbl 0669.92019
Farkas, M.; Freedman, H. I.
1989
Nonoccurence of stability switching in systems with discrete delays. Zbl 0607.34062
Freedman, H. I.; Gopalsamy, K.
1988
On a bifurcation theorem of Hopf and Friedrichs. Zbl 0371.34027
Freedman, H. I.
1977
An explicit estimate on the norm of the inverse of a matrix. Zbl 0179.05103
Freedman, H. I.
1969
Heteroclinic orbits and convergence of order-preserving set-condensing semiflows with applications to integrodifferential equations. Zbl 0832.45005
Wu, J.; Freedman, H. I.; Miller, R. K.
1995
Oscillations in delay differential systems. Zbl 0780.34049
Kong, Qingkai; Freedman, H. I.
1993
Steady-state analysis in a model for population diffusion in a multi- patch environment. Zbl 0760.92021
Freedman, H. I.; Wu, J.
1992
Global stability of Volterra models with time delay. Zbl 0760.34058
Weng, Xiaoqing; Ma, Zhien; Freedman, H. I.
1991
Systems with constant eigenvectors with applications to exact and numerical solutions of ordinary differential equations. Zbl 0306.65018
Freedman, H. I.; Lawson, J. D.
1974
Stability criteria for the cure state in a cancer model with radiation treatment. Zbl 1170.34331
Freedman, H. I.; Pinho, S. T. R.
2009
Global stability in a diffusive stage-structured population system with two time delays. Zbl 0914.92016
Freedman, H. I.; Peng, Qiu-Liang
1997
Can mutualism alter competitive outcome?: A mathematical analysis. Zbl 0832.34033
Freedman, H. I.; Rai, Bindhyachal
1995
Global stability in models of population dynamics with diffusion. I: Patchy environments. Zbl 0801.35053
Freedman, H. I.; Krisztin, T.
1992
Persistence in discrete models of a population which may be subjected to harvesting. Zbl 0850.92074
Freedman, H. I.; So, J. W.-H.
1987
Predator influence on the growth of a population with three genotypes. II. Zbl 0525.92014
Freedman, H. I.; Waltman, Paul
1982
Persistence and extinction in a mathematical model of cell populations affected by radiation. Zbl 1164.92002
Freedman, H. I.; Pinho, S. T. R.
2008
Mathematical models of predator mutualists. Zbl 1061.34510
Freedman, H. I.; Kumar, R.; Easton, A. K.; Singh, M.
2001
A dynamical economic model of sustainable agriculture and the ecosphere. Zbl 0894.90042
Solomonovich, M.; Apedaile, L. P.; Freedman, H. I.; Gebremedihen, A. H.; Schilizzi, S. G. M.; Belostotski, L.
1997
Global attractivity in time-delayed predator-prey systems. Zbl 0882.92029
Cao, Yulin; Freedman, H. I.
1996
Equilibria and dynamics in an economic predator-prey model of agriculture. Zbl 0810.90024
Apedaille, L. P.; Freedman, H. I.; Schilizzi, S. G. M.; Solomonovich, M.
1994
Stability, persistence, and extinction in a predator-prey system with discrete and continuous time delays. Zbl 0832.34078
Freedman, H. I.; Sree Hari Rao, V.; Jaya Lakshmi, K.
1992
Asymptotic behavior of a time-dependent single-species model. Zbl 0678.34056
Freedman, H. I.; Sree Hari Rao, V.; So, J. W.-H.
1989
Persistence and extinction in models of two-habitat migration. Zbl 0655.92018
Freedman, H. I.
1989
A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy. Zbl 1254.92049
Pinho, S. T. R.; Bacelar, F. S.; Andrade, R. F. S.; Freedman, H. I.
2013
A mathematical model of cancer treatment by chemotherapy. Zbl 1369.92054
Freedman, H. I.; Nani, Frank
2012
Depletion of forestry resource biomass due to industrialization pressure: a ratio-dependent mathematical model. Zbl 1342.91023
Agarwal, Manju; Fatima, Tazeen; Freedman, H. I.
2010
Analysis of stability and persistence in a ratio-dependent predator-prey resource model. Zbl 1342.92168
Freedman, H. I.; Agarwal, Manju; Devi, Sapna
2009
Stability criteria for the cure state in a cancer model with radiation treatment. Zbl 1170.34331
Freedman, H. I.; Pinho, S. T. R.
2009
Perturbed models for cancer treatment by radiotherapy. Zbl 1207.34057
Freedman, H. I.; Belostotski, G.
2009
Persistence and extinction in a mathematical model of cell populations affected by radiation. Zbl 1164.92002
Freedman, H. I.; Pinho, S. T. R.
2008
A mathematical model for $$M$$-phase specific chemotherapy including the $$G_0$$-phase and immunoresponse. Zbl 1123.92014
Liu, Wenxiang; Hillen, Thomas; Freedman, H. I.
2007
An ecospheric recovery model for agriculture-industry interactions. Zbl 1166.34026
Agyemang, Ibrahim; Freedman, Herb I.; Macki, Jack W.
2007
A mathematical model of vascular tumor treatment by chemotherapy. Zbl 1080.92045
Liu, Wenxiang; Freedman, H. I.
2005
A control theory model for cancer treatment by radiotherapy. Zbl 1092.92024
Belostotski, G.; Freedman, H. I.
2005
Stability in models of agriculture-industry-environment interactions. Zbl 1044.34007
Freedman, H. I.; Solomonovich, M.; Apedaile, L. P.; Hailu, A.
2003
A chemotherapy model for the treatment of cancer with metastasis. Zbl 1021.92014
Pinho, S. T. R.; Freedman, H. I.; Nani, F.
2002
Mathematical analysis in a model of obligate mutualism with food chain populations. Zbl 1028.34041
Kumar, R.; Freedman, H. I.
2002
Mathematical models of predator mutualists. Zbl 1061.34510
Freedman, H. I.; Kumar, R.; Easton, A. K.; Singh, M.
2001
Predictability and trapping under conditions of globalization of agricultural trade: An application of the CDS approach. Zbl 0973.91065
Solomonovich, M.; Apedaile, L. P.; Freedman, H. I.
2001
A mathematical model of cancer treatment by immunotherapy. Zbl 0997.92024
Nani, Frank; Freedman, H. I.
2000
Global attractivity in a periodic chemostat with general uptake functions. Zbl 0997.92040
Peng, Qiu-Liang; Freedman, H. I.
2000
Uniform persistence and global asymptotic stability in periodic single-species models of dispersal in a patchy environment. Zbl 0927.34027
Freedman, H. I.; Peng, Qui-Liang
1999
Analysis of a population model with space-dependent recruitment in continuous time. Zbl 0923.92022
Zhang, Shenghai; Freedman, H. I.; Liu, X. Z.
1999
Mathematical models of population distribution within a culture group. Zbl 1070.91518
Freedman, H. I.; Singh, M.; Easton, A. K.; Baggs, I.
1999
On an unbounded linear operator arising in the demographic theory for an open population with space limited recruitment. Zbl 0940.47035
Zhang, Shenghai; Freedman, H. I.
1999
Global attractivity in a nonlocal reaction-diffusion model. Zbl 0918.35065
Freedman, H. I.; Zhao, Xiaoqiang
1999
Global asymptotics in some quasimonotone reaction-diffusion systems with delays. Zbl 0885.35050
Freedman, H. I.; Zhao, Xiao-Qiang
1997
Global stability in a diffusive stage-structured population system with two time delays. Zbl 0914.92016
Freedman, H. I.; Peng, Qiu-Liang
1997
A dynamical economic model of sustainable agriculture and the ecosphere. Zbl 0894.90042
Solomonovich, M.; Apedaile, L. P.; Freedman, H. I.; Gebremedihen, A. H.; Schilizzi, S. G. M.; Belostotski, L.
1997
Global attractivity in time-delayed predator-prey systems. Zbl 0882.92029
Cao, Yulin; Freedman, H. I.
1996
Bifurcations in persistence theory. Zbl 0874.92028
Freedman, H. I.; Moson, P.
1996
Uniform persistence in functional differential equations. Zbl 0814.34064
Freedman, H. I.; Ruan, Shigui
1995
Some global qualitative analyses of a single species neutral delay differential population model. Zbl 0831.34074
Freedman, H. I.; Kuang, Yang
1995
Heteroclinic orbits and convergence of order-preserving set-condensing semiflows with applications to integrodifferential equations. Zbl 0832.45005
Wu, J.; Freedman, H. I.; Miller, R. K.
1995
Can mutualism alter competitive outcome?: A mathematical analysis. Zbl 0832.34033
Freedman, H. I.; Rai, Bindhyachal
1995
Boundedness criteria for solutions of perturbed Kolmogorov population models. Zbl 0844.92018
Freedman, H. I.; Martynyuk, A. A.
1995
Tridiagonal competitive-cooperative Kolmogorov systems. Zbl 0870.92018
Freedman, H. I.; Smith, H. L.
1995
Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033
Freedman, H. I.; Ruan, Shigui; Tang, Moxun
1994
A model for the growth of a population exhibiting stage structure: cannibalism and cooperation. Zbl 0821.34034
Freedman, H. I.; So, Joseph W.-H.; Wu, Jianhong
1994
On reaction-diffusion systems of zooplankton-phytoplankton-nutrient models. Zbl 0868.92026
Freedman, H. I.; Ruan, Shigui
1994
Periodic solutions of single species models with delay. Zbl 0794.34056
Freedman, H. I.; Xia, Huaxing
1994
Equilibria and dynamics in an economic predator-prey model of agriculture. Zbl 0810.90024
Apedaille, L. P.; Freedman, H. I.; Schilizzi, S. G. M.; Solomonovich, M.
1994
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
1993
Models of competition in the chemostat with instantaneous and delayed nutrient recycling. Zbl 0778.92022
Freedman, H. I.; Xu, Yuantong
1993
Can the speakers of a dominated language survive as unilinguals? A mathematical model of bilingualism. Zbl 0792.92033
Baggs, I.; Freedman, H. I.
1993
Oscillations in delay differential systems. Zbl 0780.34049
Kong, Qingkai; Freedman, H. I.
1993
Single species models with monotonic and oscillatory carrying capacities. Zbl 0794.92016
Kong, Qingkai; Freedman, H. I.
1993
Analysis of a model representing stage-structured population growth with state-dependent time delay. Zbl 0760.92018
Aiello, Walter G.; Freedman, H. I.; Wu, J.
1992
Periodic solutions of single-species models with periodic delay. Zbl 0764.92016
Freedman, H. I.; Wu, Jianhong
1992
Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039
Freedman, H. I.; Ruan, Shigui
1992
Steady-state analysis in a model for population diffusion in a multi- patch environment. Zbl 0760.92021
Freedman, H. I.; Wu, J.
1992
Global stability in models of population dynamics with diffusion. I: Patchy environments. Zbl 0801.35053
Freedman, H. I.; Krisztin, T.
1992
Stability, persistence, and extinction in a predator-prey system with discrete and continuous time delays. Zbl 0832.34078
Freedman, H. I.; Sree Hari Rao, V.; Jaya Lakshmi, K.
1992
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
1991
Persistence and global asymptotic stability of single species dispersal models with stage structure. Zbl 0732.92021
Freedman, H. I.; Wu, J. H.
1991
Comparison principles for impulsive parabolic equations with applications to models of single species growth. Zbl 0881.35006
Erbe, L. H.; Freedman, H. I.; Liu, X. Z.; Wu, Jianhong
1991
Stability switches in linear scalar neutral delay equations. Zbl 0749.34045
Freedman, H. I.; Kuang, Y.
1991
Competing predators for a prey in a chemostat model with periodic nutrient input. Zbl 0825.92124
Yang, Feng; Freedman, H. I.
1991
Monotone semiflows generated by neutral functional differential equations with application to compartmental systems. Zbl 0754.34081
Wu, Jianhong; Freedman, H. I.
1991
Persistence in three-species food chain models with group defense. Zbl 0752.92027
Ruan, Shigui; Freedman, H. I.
1991
Global stability of Volterra models with time delay. Zbl 0760.34058
Weng, Xiaoqing; Ma, Zhien; Freedman, H. I.
1991
Convergence to equilibria in general models of unilingual-bilingual interactions. Zbl 0737.92031
Freedman, H. I.; Baggs, I.
1991
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
1990
A model of predator-prey dynamics as modified by the action of a parasite. Zbl 0698.92024
Freedman, H. I.
1990
Persistence definitions and their connections. Zbl 0695.34049
Freedman, H. I.; Moson, P.
1990
A mathematical model for the dynamics of interactions between a unilingual and a bilingual population: Persistence versus extinction. Zbl 0725.92027
Baggs, I.; Freedman, H. I.
1990
Uniqueness of limit cycles in Liénard-type equations. Zbl 0705.34038
Freedman, H. I.; Kuang, Y.
1990
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
1989
Global stability and predator dynamics in a model of prey dispersal in a patchy environment. Zbl 0685.92018
Freedman, H. I.; Takeuchi, Y.
1989
Coexistence in a model of competition in the chemostat incorporating discrete delays. Zbl 0676.92013
Freedman, H. I.; So, Joseph W.-H.; Waltman, Paul
1989
A mathematical model of facultative mutualism with populations interacting in a food chain. Zbl 0695.92016
Kumar, Ravinder; Freedman, H. I.
1989
Persistence in discrete semidynamical systems. Zbl 0676.92011
Freedman, H. I.; So, Joseph W.-H.
1989
Predator survival versus extinction as a function of dispersal in a predator-prey model with patchy environment. Zbl 0641.92016
Freedman, H. I.; Takeuchi, Y.
1989
Population diffusion in a two-patch environment. Zbl 0672.92021
Freedman, H. I.; Shukla, J. B.; Takeuchi, Y.
1989
The effect of a predator resource on a diffusive predator prey system. Zbl 0850.92061
Freedman, H. I.; Shukla, J. B.
1989
The stable coexistence of competing species on a renewable resource. Zbl 0661.92021
Farkas, M.; Freedman, H. I.
1989
Stability conditions for two predator one prey systems. Zbl 0669.92019
Farkas, M.; Freedman, H. I.
1989
Asymptotic behavior of a time-dependent single-species model. Zbl 0678.34056
Freedman, H. I.; Sree Hari Rao, V.; So, J. W.-H.
1989
Persistence and extinction in models of two-habitat migration. Zbl 0655.92018
Freedman, H. I.
1989
Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016
Kuang, Yang; Freedman, H. I.
1988
Interactions leading to persistence in predator-prey systems with group defence. Zbl 0673.92011
Freedman, H. I.; Quan, Hongshun
1988
Uniform persistence and global stability in models involving mutualism. II: Competitor-competitor-mutualist systems. Zbl 0673.92010
Freedman, H. I.; Rai, Bindhyachal
1988
Nonoccurence of stability switching in systems with discrete delays. Zbl 0607.34062
Freedman, H. I.; Gopalsamy, K.
1988
Global stability in ODE models of population interactions. Zbl 0662.92018
Freedman, H. I.
1988
Obligate mutualism with a predator: Stability and persistence of three- species models. Zbl 0638.92020
Freedman, H. I.; Addicott, John F.; Rai, Bindhyachal
1987
Persistence in a predator-prey-competitor-mutualist model. Zbl 0626.92016
Freedman, H. I.; Rai, Bindhyachal
1987
Persistence in discrete models of a population which may be subjected to harvesting. Zbl 0850.92074
Freedman, H. I.; So, J. W.-H.
1987
Persistence in dynamical systems models of three-population ecological communities. Zbl 0623.92025
Butler, G. J.; Freedman, H. I.; Waltman, P.
1987
Uniformly persistent systems. Zbl 0603.34043
Butler, Geoffrey; Freedman, H. I.; Waltman, Paul
1986
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
1986
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
1986
Three-species food-chain models with mutual interference and time delays. Zbl 0592.92024
Erbe, L. H.; Freedman, H. I.; Sree Hari Rao, V.
1986
Mathematical models of population interactions with dispersal. II: Differential survival in a change of habitat. Zbl 0588.92020
Freedman, H. I.; Rai, Bindhyachal; Waltman, Paul
1986
Stability criteria for a system involving two time delays. Zbl 0624.34066
Freedman, H. I.; Sree Hari Rao, V.
1986
Persistence and global stability in a predator-prey model consisting of three prey genotypes with fertility differences. Zbl 0624.92014
So, Joseph W.-H.; Freedman, H. I.
1986
Global stability and persistence of simple food chains. Zbl 0572.92025
Freedman, H. I.; So, J. W.-H.
1985
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
1985
Modeling persistence and mutual interference among subpopulations of ecological communities. Zbl 0571.92026
Erbe, L. H.; Freedman, H. I.
1985
Persistence in models of three interacting predator-prey populations. Zbl 0534.92026
Freedman, H. I.; Waltman, Paul
1984
On the structure and stability of mutualistic systems: Analysis of predator-prey and competition models as modified by the action of a slow- growing mutualist. Zbl 0551.92018
Addicott, John F.; Freedman, H. I.
1984
Model of diffusion of oxygen to spheroids grown in stationary medium I. Complete spherical symmetry. Zbl 0534.92009
Franko, A. J.; Freedman, H. I.
1984
The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
Freedman, H. I.; Sree Hari Rao, V.
1983
Analysis of three species models of mutualism in predator-prey and competitive systems. Zbl 0532.92025
Rai, Bindhyachal; Freedman, H. I.; Addicott, John F.
1983
...and 30 more Documents
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Cited by 3,055 Authors

 115 Chen, Lansun 75 Freedman, Herbert Irving 49 Teng, Zhi-dong 37 Chattopadhyay, Joydev 37 Xu, Rui 34 Jiao, Jianjun 34 Takeuchi, Yasuhiro 32 Song, Xinyu 31 Jiang, Daqing 30 Samanta, Guru Prasad 29 Misra, Arvind Kumar 28 Venturino, Ezio 28 Wang, Ke 25 Cui, Jingan 25 Wang, Yuanshi 24 Kuang, Yang 24 Wu, Jianhong 23 Liu, Meng 23 Ruan, Shigui 22 Chaplain, Mark A. J. 22 Chen, Fengde 22 Kar, Tapan Kumar 21 Wei, Junjie 20 Samanta, Sudip K. 20 Shukla, Jang Bahadur 19 Cai, Shaohong 19 González-Olivares, Eduardo 19 Liu, Shengqiang 19 Zhang, Long 18 Gakkhar, Sunita 18 Huo, Hai-Feng 18 Li, Wan-Tong 18 Yuan, Rong 17 Haque, Mainul 17 Hernández, Eduardo M. 17 Ma, Zhien 17 Waltman, Paul Elvis 16 Davidson, Fordyce A. 16 Han, Maoan 16 Jin, Zhen 16 Liu, Zhijun 16 Lv, Yunfei 16 Meng, Xinzhu 16 Pei, Yongzhen 16 Zhao, Xiao-Qiang 15 Kumar Upadhyay, Ranjit 15 Tang, Sanyi 15 Wolkowicz, Gail S. K. 14 Banerjee, Malay 14 Fan, Meng 14 Fan, Yonghong 14 Li, Michael Yi 14 Li, Yongkun 14 Liu, Xinzhi 14 Mukherjee, Debasis 14 Rojas-Palma, Alejandro 14 Yuan, Sanling 13 Liu, Bing 13 Ma, Wanbiao 13 Shi, Xiangyun 13 Wang, Wendi 13 Zhou, Xueyong 12 Dubey, Balram 12 Liu, Zijian 12 Naji, Raid Kamel 12 Nieto Roig, Juan Jose 12 Wang, Linlin 12 Wu, Hong 12 Xiao, Yanni 11 Benchohra, Mouffak 11 Chandra, Peeyush 11 Gao, Shujing 11 Guo, Shangjiang 11 Liu, Chao 11 O’Regan, Donal 11 Rao, Vadrevu Sree Hari 11 Roy, Amiya Bhusan 11 Zhang, Qingling 10 Bairagi, Nandadulal 10 Cao, Jinde 10 Chatterjee, Samrat 10 Das, Krishnapada 10 Gard, Thomas C. 10 Hsu, Szebi 10 Huang, Xuncheng 10 Jang, Sophia R.-J. 10 Jiang, Jifa 10 Jiang, Weihua 10 Ko, Wonlyul 10 Kuniya, Toshikazu 10 Li, Xuezhi 10 Maiti, Alakes 10 Mao, Xuerong 10 Sahoo, Banshidhar 10 Sezer, Mehmet 10 Xia, Yonghui 10 Zhang, Zhengqiu 9 Banerjee, Sandip 9 Bhattacharyya, Rakhi 9 Buonomo, Bruno ...and 2,955 more Authors
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Cited in 238 Serials

 238 Applied Mathematics and Computation 172 Journal of Mathematical Analysis and Applications 166 Nonlinear Analysis. Real World Applications 143 Mathematical Biosciences 110 Chaos, Solitons and Fractals 79 Journal of Mathematical Biology 72 Advances in Difference Equations 68 Journal of Differential Equations 63 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 59 Mathematical and Computer Modelling 58 International Journal of Biomathematics 56 Bulletin of Mathematical Biology 56 Nonlinear Dynamics 55 Applied Mathematical Modelling 52 Abstract and Applied Analysis 51 Journal of Applied Mathematics and Computing 50 Journal of Biological Systems 49 Journal of Computational and Applied Mathematics 48 Journal of Theoretical Biology 46 Discrete Dynamics in Nature and Society 44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 42 Computers & Mathematics with Applications 41 Mathematical Methods in the Applied Sciences 36 Differential Equations and Dynamical Systems 34 Communications in Nonlinear Science and Numerical Simulation 32 Discrete and Continuous Dynamical Systems. Series B 32 Nonlinear Analysis. Theory, Methods & Applications 30 Rocky Mountain Journal of Mathematics 29 Theoretical Population Biology 26 Acta Mathematicae Applicatae Sinica. English Series 25 Applied Mathematics Letters 24 Journal of Biological Dynamics 22 Journal of Applied Mathematics 21 Applicable Analysis 18 Proceedings of the American Mathematical Society 16 Journal of Dynamics and Differential Equations 15 Computational and Applied Mathematics 14 Journal of the Franklin Institute 14 Mathematical Biosciences and Engineering 14 Journal of Applied Analysis and Computation 13 Mathematical Problems in Engineering 12 Mathematics and Computers in Simulation 12 International Journal of Computer Mathematics 12 Journal of Mathematical Chemistry 11 Physica A 11 Acta Applicandae Mathematicae 11 Complexity 11 Mathematical Modelling of Natural Phenomena 11 International Journal of Applied and Computational Mathematics 10 SIAM Journal on Applied Mathematics 9 Journal of Difference Equations and Applications 8 Physica D 8 Discrete and Continuous Dynamical Systems 8 Acta Mathematica Sinica. English Series 8 Nonlinear Analysis. Modelling and Control 8 Advances in Complex Systems 8 Communications on Pure and Applied Analysis 8 Nonlinear Analysis. Hybrid Systems 7 Journal of Systems Science and Complexity 7 Computational & Mathematical Methods in Medicine 6 International Journal of Systems Science 6 International Journal of Mathematics and Mathematical Sciences 6 Tohoku Mathematical Journal. Second Series 6 Journal of Nonlinear Science 6 Chaos 6 Natural Resource Modeling 6 Dynamical Systems 6 International Journal of Differential Equations 5 Journal of Algebra 5 The Journal of Mathematical Sociology 5 Applied Numerical Mathematics 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 The ANZIAM Journal 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Quarterly of Applied Mathematics 4 Results in Mathematics 4 Ricerche di Matematica 4 Transactions of the American Mathematical Society 4 Applied Mathematics and Mechanics. (English Edition) 4 Stochastic Analysis and Applications 4 Numerical Methods for Partial Differential Equations 4 Dynamics and Stability of Systems 4 Journal of Integral Equations and Applications 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Applied Mathematics. Series B (English Edition) 4 Mathematical and Computer Modelling of Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mediterranean Journal of Mathematics 4 Journal of Mathematics 4 Open Mathematics 3 Bulletin of the Australian Mathematical Society 3 International Journal of Theoretical Physics 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Soviet Mathematics 3 Monatshefte für Mathematik 3 Japan Journal of Industrial and Applied Mathematics 3 Applications of Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Mathematical Analysis ...and 138 more Serials
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Cited in 41 Fields

 2,244 Biology and other natural sciences (92-XX) 1,811 Ordinary differential equations (34-XX) 475 Dynamical systems and ergodic theory (37-XX) 355 Partial differential equations (35-XX) 152 Numerical analysis (65-XX) 133 Systems theory; control (93-XX) 107 Difference and functional equations (39-XX) 106 Probability theory and stochastic processes (60-XX) 104 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 102 Operator theory (47-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 35 Integral equations (45-XX) 19 Real functions (26-XX) 13 Computer science (68-XX) 9 Combinatorics (05-XX) 9 Associative rings and algebras (16-XX) 9 Mechanics of particles and systems (70-XX) 8 Group theory and generalizations (20-XX) 7 Operations research, mathematical programming (90-XX) 6 General and overarching topics; collections (00-XX) 6 Statistics (62-XX) 6 Geophysics (86-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)