×

zbMATH — the first resource for mathematics

Freedman, Herbert Irving

Compute Distance To:
Author ID: freedman.herbert-i Recent zbMATH articles by "Freedman, Herbert Irving"
Published as: Freedman, H. I.; Freedman, H.; Freedman, Herbert I.; Freedman, Herb I.
External Links: MGP
Documents Indexed: 163 Publications since 1968, including 5 Books
Biographic References: 1 Publication
all top 5

Co-Authors

19 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 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 Cruz-Hernández, César
1 Devi, Sapna
1 Dzhalalov, E. E.
1 Fatima, Tazeen
1 Franko, A. J.
1 Gaĭshun, Ivan Vasil’vich
1 Gard, Thomas C.
1 Gebremedihen, A. H.
1 Hadeler, Karl-Peter
1 Hillen, Thomas
1 Izobov, Nikolaĭ Alekseevich
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 Radzishevskii, B.
1 Riemenschneider, Sherman D.
1 Samoĭlenko, Anatoliĭ Mykhaĭlovych
1 Smith, Hal Leslie
1 Stavrulakis, I. P.
1 Strobeck, Curtis
1 Sun, Zhenqi
1 Tang, Moxun
1 Weng, Xiaoqing
1 Xia, Huaxing
1 Xu, Yuantong
1 Yang, Feng
all top 5

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 Publicationes Mathematicae
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 Differential Equations
1 International Journal of Pure and Applied Mathematics
1 Communications on Pure and Applied Analysis
1 Mathematical Biosciences and Engineering
1 Journal of the London Mathematical Society
1 Lecture Notes in Biomathematics
1 Pure and Applied Mathematics, Marcel Dekker
1 Journal of Biological Dynamics
1 International Journal of Biomathematics

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 4,473 times in 2,845 Documents Cited by Year
Deterministic mathematical models in population ecology. Zbl 0448.92023
Freedman, H. I.
526
1980
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
295
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.
277
1992
Uniformly persistent systems. Zbl 0603.34043
Butler, Geoffrey; Freedman, H. I.; Waltman, Paul
225
1986
Persistence in models of three interacting predator-prey populations. Zbl 0534.92026
Freedman, H. I.; Waltman, Paul
205
1984
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
175
1989
Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033
Freedman, H. I.; Ruan, Shigui; Tang, Moxun
168
1994
Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016
Kuang, Yang; Freedman, H. I.
158
1988
The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
Freedman, H. I.; Sree Hari Rao, V.
150
1983
Periodic solutions of single-species models with periodic delay. Zbl 0764.92016
Freedman, H. I.; Wu, Jianhong
121
1992
Global stability and persistence of simple food chains. Zbl 0572.92025
Freedman, H. I.; So, J. W.-H.
114
1985
Mathematical analysis of some three-species food-chain models. Zbl 0363.92022
Freedman, H. I.; Waltman, Paul
105
1977
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
103
1986
Uniform persistence in functional differential equations. Zbl 0814.34064
Freedman, H. I.; Ruan, Shigui
100
1995
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
82
1991
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
81
1985
Persistence and global asymptotic stability of single species dispersal models with stage structure. Zbl 0732.92021
Freedman, H. I.; Wu, J. H.
78
1991
Graphical stability, enrichment, and pest control by a natural enemy. Zbl 0373.92023
Freedman, H. I.
75
1976
Global stability and predator dynamics in a model of prey dispersal in a patchy environment. Zbl 0685.92018
Freedman, H. I.; Takeuchi, Y.
70
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
67
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
60
1989
A model of predator-prey dynamics as modified by the action of a parasite. Zbl 0698.92024
Freedman, H. I.
57
1990
Persistence definitions and their connections. Zbl 0695.34049
Freedman, H. I.; Moson, P.
52
1990
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
51
1977
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
48
1986
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
45
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.
43
1986
Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016
Freedman, H. I.
43
1979
Stability switches in linear scalar neutral delay equations. Zbl 0749.34045
Freedman, H. I.; Kuang, Y.
43
1991
A mathematical model of cancer treatment by immunotherapy. Zbl 0997.92024
Nani, Frank; Freedman, H. I.
38
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
37
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.
34
1983
A mathematical model of facultative mutualism with populations interacting in a food chain. Zbl 0695.92016
Kumar, Ravinder; Freedman, H. I.
30
1989
Stability criteria for a system involving two time delays. Zbl 0624.34066
Freedman, H. I.; Sree Hari Rao, V.
30
1986
Global asymptotics in some quasimonotone reaction-diffusion systems with delays. Zbl 0885.35050
Freedman, H. I.; Zhao, Xiao-Qiang
29
1997
Persistence in discrete semidynamical systems. Zbl 0676.92011
Freedman, H. I.; So, Joseph W.-H.
28
1989
Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039
Freedman, H. I.; Ruan, Shigui
28
1992
Models of competition in the chemostat with instantaneous and delayed nutrient recycling. Zbl 0778.92022
Freedman, H. I.; Xu, Yuantong
26
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.
25
1989
A chemotherapy model for the treatment of cancer with metastasis. Zbl 1021.92014
Pinho, S. T. R.; Freedman, H. I.; Nani, F.
23
2002
Competing predators for a prey in a chemostat model with periodic nutrient input. Zbl 0825.92124
Yang, Feng; Freedman, H. I.
19
1991
Population diffusion in a two-patch environment. Zbl 0672.92021
Freedman, H. I.; Shukla, J. B.; Takeuchi, Y.
17
1989
Interactions leading to persistence in predator-prey systems with group defence. Zbl 0673.92011
Freedman, H. I.; Quan, Hongshun
16
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
15
1994
Predator influence on the growth of a population with three genotypes. Zbl 0393.92012
Freedman, H. I.; Waltman, Paul
15
1978
Periodic solutions of a predator-prey system with periodic coefficients. Zbl 0471.92020
Butler, G. J.; Freedman, H. I.
15
1981
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.
14
2013
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.
13
1990
Monotone semiflows generated by neutral functional differential equations with application to compartmental systems. Zbl 0754.34081
Wu, Jianhong; Freedman, H. I.
13
1991
Persistence in three-species food chain models with group defense. Zbl 0752.92027
Ruan, Shigui; Freedman, H. I.
13
1991
On endomorphisms of primary groups. Zbl 0157.35701
Freedman, H.
12
1968
Modeling persistence and mutual interference among subpopulations of ecological communities. Zbl 0571.92026
Erbe, L. H.; Freedman, H. I.
11
1985
Perturbation of two-dimensional predator-prey equations. Zbl 0313.92001
Freedman, H. I.; Waltman, P.
11
1975
Perturbation of two-dimensional predator-prey equations with an unperturbed critical point. Zbl 0326.92002
Freedman, H. I.; Waltman, P.
11
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
10
1999
Uniqueness of limit cycles in Liénard-type equations. Zbl 0705.34038
Freedman, H. I.; Kuang, Y.
10
1990
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
10
1982
Obligate mutualism with a predator: Stability and persistence of three- species models. Zbl 0638.92020
Freedman, H. I.; Addicott, John F.; Rai, Bindhyachal
10
1987
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.
9
1984
The implicit function theorem in the scalar case. Zbl 0189.33801
Freedman, H. I.
9
1969
Some global qualitative analyses of a single species neutral delay differential population model. Zbl 0831.34074
Freedman, H. I.; Kuang, Yang
9
1995
Functionally commutative matrices and matrices with constant eigenvectors. Zbl 0346.15003
Freedman, H. I.
9
1976
The effect of a predator resource on a diffusive predator prey system. Zbl 0850.92061
Freedman, H. I.; Shukla, J. B.
9
1989
The stable coexistence of competing species on a renewable resource. Zbl 0661.92021
Farkas, M.; Freedman, H. I.
9
1989
Analysis of stability and persistence in a ratio-dependent predator-prey resource model. Zbl 1342.92168
Freedman, H. I.; Agarwal, Manju; Devi, Sapna
8
2009
Uniform persistence and global stability in models involving mutualism. II: Competitor-competitor-mutualist systems. Zbl 0673.92010
Freedman, H. I.; Rai, Bindhyachal
8
1988
A perturbed Kolmogorov-type model for the growth problem. Zbl 0321.92017
Freedman, H. I.
8
1975
A mathematical model of vascular tumor treatment by chemotherapy. Zbl 1080.92045
Liu, Wenxiang; Freedman, H. I.
8
2005
On reaction-diffusion systems of zooplankton-phytoplankton-nutrient models. Zbl 0868.92026
Freedman, H. I.; Ruan, Shigui
7
1994
Periodic solutions of single species models with delay. Zbl 0794.34056
Freedman, H. I.; Xia, Huaxing
7
1994
Can the speakers of a dominated language survive as unilinguals? A mathematical model of bilingualism. Zbl 0792.92033
Baggs, I.; Freedman, H. I.
7
1993
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.
7
2007
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.
7
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.
6
2010
Analysis of a population model with space-dependent recruitment in continuous time. Zbl 0923.92022
Zhang, Shenghai; Freedman, H. I.; Liu, X. Z.
6
1999
Nonoccurence of stability switching in systems with discrete delays. Zbl 0607.34062
Freedman, H. I.; Gopalsamy, K.
6
1988
An explicit estimate on the norm of the inverse of a matrix. Zbl 0179.05103
Freedman, H. I.
6
1969
Stability conditions for two predator one prey systems. Zbl 0669.92019
Farkas, M.; Freedman, H. I.
6
1989
On a bifurcation theorem of Hopf and Friedrichs. Zbl 0371.34027
Freedman, H. I.
6
1977
A control theory model for cancer treatment by radiotherapy. Zbl 1092.92024
Belostotski, G.; Freedman, H. I.
6
2005
Persistence in a predator-prey-competitor-mutualist model. Zbl 0626.92016
Freedman, H. I.; Rai, Bindhyachal
6
1987
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.
5
1995
Oscillations in delay differential systems. Zbl 0780.34049
Kong, Qingkai; Freedman, H. I.
5
1993
Steady-state analysis in a model for population diffusion in a multi- patch environment. Zbl 0760.92021
Freedman, H. I.; Wu, J.
5
1992
Systems with constant eigenvectors with applications to exact and numerical solutions of ordinary differential equations. Zbl 0306.65018
Freedman, H. I.; Lawson, J. D.
5
1974
Global stability of Volterra models with time delay. Zbl 0760.34058
Weng, Xiaoqing; Ma, Zhien; Freedman, H. I.
5
1991
Predator influence on the growth of a population with three genotypes. II. Zbl 0525.92014
Freedman, H. I.; Waltman, Paul
4
1982
Global stability in a diffusive stage-structured population system with two time delays. Zbl 0914.92016
Freedman, H. I.; Peng, Qiu-Liang
4
1997
Mathematical models of predator mutualists. Zbl 1061.34510
Freedman, H. I.; Kumar, R.; Easton, A. K.; Singh, M.
4
2001
Stability criteria for the cure state in a cancer model with radiation treatment. Zbl 1170.34331
Freedman, H. I.; Pinho, S. T. R.
4
2009
Can mutualism alter competitive outcome?: A mathematical analysis. Zbl 0832.34033
Freedman, H. I.; Rai, Bindhyachal
4
1995
Global stability in models of population dynamics with diffusion. I: Patchy environments. Zbl 0801.35053
Freedman, H. I.; Krisztin, T.
4
1992
Persistence in discrete models of a population which may be subjected to harvesting. Zbl 0850.92074
Freedman, H. I.; So, J. W.-H.
4
1987
Nonobligate and obligate models of mutualism. Zbl 0523.92022
Freedman, H. I.; Addicott, John F.; Rai, Bindhyachal
3
1983
Global attractivity in time-delayed predator-prey systems. Zbl 0882.92029
Cao, Yulin; Freedman, H. I.
3
1996
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.
3
1997
Estimates on the existence region for periodic solutions of equations involving a small parameter. I: The noncritical case. Zbl 0185.16804
Freedman, H. I.
3
1968
Persistence and extinction in a mathematical model of cell populations affected by radiation. Zbl 1164.92002
Freedman, H. I.; Pinho, S. T. R.
3
2008
Asymptotic behavior of a time-dependent single-species model. Zbl 0678.34056
Freedman, H. I.; Sree Hari Rao, V.; So, J. W.-H.
3
1989
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.
3
1992
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.
14
2013
A mathematical model of cancer treatment by chemotherapy. Zbl 1369.92054
Freedman, H. I.; Nani, Frank
1
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.
6
2010
Analysis of stability and persistence in a ratio-dependent predator-prey resource model. Zbl 1342.92168
Freedman, H. I.; Agarwal, Manju; Devi, Sapna
8
2009
Stability criteria for the cure state in a cancer model with radiation treatment. Zbl 1170.34331
Freedman, H. I.; Pinho, S. T. R.
4
2009
Perturbed models for cancer treatment by radiotherapy. Zbl 1207.34057
Freedman, H. I.; Belostotski, G.
2
2009
Persistence and extinction in a mathematical model of cell populations affected by radiation. Zbl 1164.92002
Freedman, H. I.; Pinho, S. T. R.
3
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.
7
2007
An ecospheric recovery model for agriculture-industry interactions. Zbl 1166.34026
Agyemang, Ibrahim; Freedman, Herb I.; Macki, Jack W.
1
2007
A mathematical model of vascular tumor treatment by chemotherapy. Zbl 1080.92045
Liu, Wenxiang; Freedman, H. I.
8
2005
A control theory model for cancer treatment by radiotherapy. Zbl 1092.92024
Belostotski, G.; Freedman, H. I.
6
2005
Stability in models of agriculture-industry-environment interactions. Zbl 1044.34007
Freedman, H. I.; Solomonovich, M.; Apedaile, L. P.; Hailu, A.
1
2003
A chemotherapy model for the treatment of cancer with metastasis. Zbl 1021.92014
Pinho, S. T. R.; Freedman, H. I.; Nani, F.
23
2002
Mathematical analysis in a model of obligate mutualism with food chain populations. Zbl 1028.34041
Kumar, R.; Freedman, H. I.
1
2002
Mathematical models of predator mutualists. Zbl 1061.34510
Freedman, H. I.; Kumar, R.; Easton, A. K.; Singh, M.
4
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.
1
2001
A mathematical model of cancer treatment by immunotherapy. Zbl 0997.92024
Nani, Frank; Freedman, H. I.
38
2000
Global attractivity in a periodic chemostat with general uptake functions. Zbl 0997.92040
Peng, Qiu-Liang; Freedman, H. I.
2
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
10
1999
Analysis of a population model with space-dependent recruitment in continuous time. Zbl 0923.92022
Zhang, Shenghai; Freedman, H. I.; Liu, X. Z.
6
1999
Global attractivity in a nonlocal reaction-diffusion model. Zbl 0918.35065
Freedman, H. I.; Zhao, Xiaoqiang
2
1999
Mathematical models of population distribution within a culture group. Zbl 1070.91518
Freedman, H. I.; Singh, M.; Easton, A. K.; Baggs, I.
2
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.
1
1999
Global asymptotics in some quasimonotone reaction-diffusion systems with delays. Zbl 0885.35050
Freedman, H. I.; Zhao, Xiao-Qiang
29
1997
Global stability in a diffusive stage-structured population system with two time delays. Zbl 0914.92016
Freedman, H. I.; Peng, Qiu-Liang
4
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.
3
1997
Global attractivity in time-delayed predator-prey systems. Zbl 0882.92029
Cao, Yulin; Freedman, H. I.
3
1996
Bifurcations in persistence theory. Zbl 0874.92028
Freedman, H. I.; Moson, P.
1
1996
Uniform persistence in functional differential equations. Zbl 0814.34064
Freedman, H. I.; Ruan, Shigui
100
1995
Some global qualitative analyses of a single species neutral delay differential population model. Zbl 0831.34074
Freedman, H. I.; Kuang, Yang
9
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.
5
1995
Can mutualism alter competitive outcome?: A mathematical analysis. Zbl 0832.34033
Freedman, H. I.; Rai, Bindhyachal
4
1995
Boundedness criteria for solutions of perturbed Kolmogorov population models. Zbl 0844.92018
Freedman, H. I.; Martynyuk, A. A.
2
1995
Tridiagonal competitive-cooperative Kolmogorov systems. Zbl 0870.92018
Freedman, H. I.; Smith, H. L.
1
1995
Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033
Freedman, H. I.; Ruan, Shigui; Tang, Moxun
168
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
15
1994
On reaction-diffusion systems of zooplankton-phytoplankton-nutrient models. Zbl 0868.92026
Freedman, H. I.; Ruan, Shigui
7
1994
Periodic solutions of single species models with delay. Zbl 0794.34056
Freedman, H. I.; Xia, Huaxing
7
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.
3
1994
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
45
1993
Models of competition in the chemostat with instantaneous and delayed nutrient recycling. Zbl 0778.92022
Freedman, H. I.; Xu, Yuantong
26
1993
Can the speakers of a dominated language survive as unilinguals? A mathematical model of bilingualism. Zbl 0792.92033
Baggs, I.; Freedman, H. I.
7
1993
Oscillations in delay differential systems. Zbl 0780.34049
Kong, Qingkai; Freedman, H. I.
5
1993
Single species models with monotonic and oscillatory carrying capacities. Zbl 0794.92016
Kong, Qingkai; Freedman, H. I.
1
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.
277
1992
Periodic solutions of single-species models with periodic delay. Zbl 0764.92016
Freedman, H. I.; Wu, Jianhong
121
1992
Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039
Freedman, H. I.; Ruan, Shigui
28
1992
Steady-state analysis in a model for population diffusion in a multi- patch environment. Zbl 0760.92021
Freedman, H. I.; Wu, J.
5
1992
Global stability in models of population dynamics with diffusion. I: Patchy environments. Zbl 0801.35053
Freedman, H. I.; Krisztin, T.
4
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.
3
1992
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
82
1991
Persistence and global asymptotic stability of single species dispersal models with stage structure. Zbl 0732.92021
Freedman, H. I.; Wu, J. H.
78
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
67
1991
Stability switches in linear scalar neutral delay equations. Zbl 0749.34045
Freedman, H. I.; Kuang, Y.
43
1991
Competing predators for a prey in a chemostat model with periodic nutrient input. Zbl 0825.92124
Yang, Feng; Freedman, H. I.
19
1991
Monotone semiflows generated by neutral functional differential equations with application to compartmental systems. Zbl 0754.34081
Wu, Jianhong; Freedman, H. I.
13
1991
Persistence in three-species food chain models with group defense. Zbl 0752.92027
Ruan, Shigui; Freedman, H. I.
13
1991
Global stability of Volterra models with time delay. Zbl 0760.34058
Weng, Xiaoqing; Ma, Zhien; Freedman, H. I.
5
1991
Convergence to equilibria in general models of unilingual-bilingual interactions. Zbl 0737.92031
Freedman, H. I.; Baggs, I.
2
1991
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
295
1990
A model of predator-prey dynamics as modified by the action of a parasite. Zbl 0698.92024
Freedman, H. I.
57
1990
Persistence definitions and their connections. Zbl 0695.34049
Freedman, H. I.; Moson, P.
52
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.
13
1990
Uniqueness of limit cycles in Liénard-type equations. Zbl 0705.34038
Freedman, H. I.; Kuang, Y.
10
1990
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
175
1989
Global stability and predator dynamics in a model of prey dispersal in a patchy environment. Zbl 0685.92018
Freedman, H. I.; Takeuchi, Y.
70
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
60
1989
A mathematical model of facultative mutualism with populations interacting in a food chain. Zbl 0695.92016
Kumar, Ravinder; Freedman, H. I.
30
1989
Persistence in discrete semidynamical systems. Zbl 0676.92011
Freedman, H. I.; So, Joseph W.-H.
28
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.
25
1989
Population diffusion in a two-patch environment. Zbl 0672.92021
Freedman, H. I.; Shukla, J. B.; Takeuchi, Y.
17
1989
The effect of a predator resource on a diffusive predator prey system. Zbl 0850.92061
Freedman, H. I.; Shukla, J. B.
9
1989
The stable coexistence of competing species on a renewable resource. Zbl 0661.92021
Farkas, M.; Freedman, H. I.
9
1989
Stability conditions for two predator one prey systems. Zbl 0669.92019
Farkas, M.; Freedman, H. I.
6
1989
Asymptotic behavior of a time-dependent single-species model. Zbl 0678.34056
Freedman, H. I.; Sree Hari Rao, V.; So, J. W.-H.
3
1989
Persistence and extinction in models of two-habitat migration. Zbl 0655.92018
Freedman, H. I.
3
1989
Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016
Kuang, Yang; Freedman, H. I.
158
1988
Interactions leading to persistence in predator-prey systems with group defence. Zbl 0673.92011
Freedman, H. I.; Quan, Hongshun
16
1988
Uniform persistence and global stability in models involving mutualism. II: Competitor-competitor-mutualist systems. Zbl 0673.92010
Freedman, H. I.; Rai, Bindhyachal
8
1988
Nonoccurence of stability switching in systems with discrete delays. Zbl 0607.34062
Freedman, H. I.; Gopalsamy, K.
6
1988
Global stability in ODE models of population interactions. Zbl 0662.92018
Freedman, H. I.
1
1988
Obligate mutualism with a predator: Stability and persistence of three- species models. Zbl 0638.92020
Freedman, H. I.; Addicott, John F.; Rai, Bindhyachal
10
1987
Persistence in a predator-prey-competitor-mutualist model. Zbl 0626.92016
Freedman, H. I.; Rai, Bindhyachal
6
1987
Persistence in discrete models of a population which may be subjected to harvesting. Zbl 0850.92074
Freedman, H. I.; So, J. W.-H.
4
1987
Persistence in dynamical systems models of three-population ecological communities. Zbl 0623.92025
Butler, G. J.; Freedman, H. I.; Waltman, P.
2
1987
Uniformly persistent systems. Zbl 0603.34043
Butler, Geoffrey; Freedman, H. I.; Waltman, Paul
225
1986
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
103
1986
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
48
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.
43
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
37
1986
Stability criteria for a system involving two time delays. Zbl 0624.34066
Freedman, H. I.; Sree Hari Rao, V.
30
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.
7
1986
Global stability and persistence of simple food chains. Zbl 0572.92025
Freedman, H. I.; So, J. W.-H.
114
1985
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
81
1985
Modeling persistence and mutual interference among subpopulations of ecological communities. Zbl 0571.92026
Erbe, L. H.; Freedman, H. I.
11
1985
Persistence in models of three interacting predator-prey populations. Zbl 0534.92026
Freedman, H. I.; Waltman, Paul
205
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.
9
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.
1
1984
The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
Freedman, H. I.; Sree Hari Rao, V.
150
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.
34
1983
...and 30 more Documents
all top 5

Cited by 2,964 Authors

115 Chen, Lansun
75 Freedman, Herbert Irving
49 Teng, Zhi-dong
37 Xu, Rui
36 Chattopadhyay, Joydev
34 Jiao, Jianjun
34 Takeuchi, Yasuhiro
32 Song, Xinyu
30 Misra, Arvind Kumar
30 Samanta, Guru Prasad
30 Venturino, Ezio
29 Jiang, Daqing
27 Wang, Ke
26 Wang, Yuanshi
25 Cui, Jingan
25 Kuang, Yang
24 Ruan, Shigui
23 Kar, Tapan Kumar
22 Chaplain, Mark A. J.
22 Chen, Fengde
22 Liu, Meng
22 Wu, Jianhong
21 Samanta, Sudip K.
21 Wei, Junjie
20 González-Olivares, Eduardo
20 Yuan, Rong
19 Cai, Shaohong
19 Liu, Shengqiang
19 Shukla, Jang Bahadur
19 Zhang, Long
18 Gakkhar, Sunita
18 Huo, Hai-Feng
18 Li, Wan-Tong
17 Haque, Mainul
17 Hernández, Eduardo M.
17 Liu, Zhijun
17 Lv, Yunfei
17 Ma, Zhien
17 Pei, Yongzhen
17 Waltman, Paul Elvis
17 Wolkowicz, Gail S. K.
16 Davidson, Fordyce A.
16 Han, Maoan
16 Kumar Upadhyay, Ranjit
16 Meng, Xinzhu
16 Rojas-Palma, Alejandro
16 Tang, Sanyi
16 Zhao, Xiao-Qiang
15 Banerjee, Malay
15 Jin, Zhen
15 Li, Michael Yi
15 Liu, Xinzhi
14 Fan, Meng
14 Fan, Yonghong
14 Li, Yongkun
14 Mukherjee, Debasis
14 Yuan, Sanling
13 Liu, Bing
13 Ma, Wanbiao
13 Shi, Xiangyun
13 Tiwari, Pankaj Kumar
13 Zhou, Xueyong
12 Bairagi, Nandadulal
12 Benchohra, Mouffak
12 Chandra, Peeyush
12 Dubey, Balram
12 Gao, Shujing
12 Liu, Zijian
12 Naji, Raid Kamel
12 Nieto Roig, Juan Jose
12 O’Regan, Donal
12 Wang, Linlin
12 Wang, Wendi
12 Xiao, Yanni
11 Guo, Shangjiang
11 Liu, Chao
11 Rao, Vadrevu Sree Hari
11 Roy, Amiya Bhusan
11 Wu, Hong
11 Xia, Yonghui
11 Zhang, Qingling
10 Cao, Jinde
10 Chatterjee, Samrat
10 Das, Krishnapada
10 Dhar, Joydip
10 Gard, Thomas C.
10 Hsu, Szebi
10 Huang, Xuncheng
10 Jang, Sophia R.-J.
10 Jiang, Jifa
10 Ko, Wonlyul
10 Kuniya, Toshikazu
10 Maiti, Alakes
10 Mao, Xuerong
10 Sahoo, Banshidhar
10 Sezer, Mehmet
10 Zhang, Zhengqiu
9 Banerjee, Sandip
9 Bhattacharyya, Rakhi
9 Buonomo, Bruno
...and 2,864 more Authors
all top 5

Cited in 240 Serials

236 Applied Mathematics and Computation
170 Journal of Mathematical Analysis and Applications
164 Nonlinear Analysis. Real World Applications
143 Mathematical Biosciences
107 Chaos, Solitons and Fractals
79 Journal of Mathematical Biology
72 Advances in Difference Equations
71 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
70 Journal of Differential Equations
62 International Journal of Biomathematics
59 Mathematical and Computer Modelling
58 Bulletin of Mathematical Biology
58 Nonlinear Dynamics
53 Journal of Biological Systems
52 Abstract and Applied Analysis
51 Applied Mathematical Modelling
51 Discrete Dynamics in Nature and Society
51 Journal of Applied Mathematics and Computing
51 Journal of Theoretical Biology
49 Journal of Computational and Applied Mathematics
43 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
41 Computers & Mathematics with Applications
41 Mathematical Methods in the Applied Sciences
40 Discrete and Continuous Dynamical Systems. Series B
39 Differential Equations and Dynamical Systems
34 Mathematical Biosciences and Engineering
33 Communications in Nonlinear Science and Numerical Simulation
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
17 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 Modelling of Natural Phenomena
14 Journal of Applied Analysis and Computation
13 Acta Applicandae Mathematicae
13 Mathematical Problems in Engineering
13 International Journal of Applied and Computational Mathematics
12 Mathematics and Computers in Simulation
12 International Journal of Computer Mathematics
12 Journal of Mathematical Chemistry
11 Physica A
11 Complexity
10 SIAM Journal on Applied Mathematics
10 Chaos
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
8 International Journal of Differential Equations
7 Ricerche di Matematica
7 Journal of Nonlinear Science
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 Natural Resource Modeling
6 International Journal of Nonlinear Sciences and Numerical Simulation
6 Dynamical Systems
6 Journal of Mathematics
5 Nonlinearity
5 The Journal of Mathematical Sociology
5 Applied Numerical Mathematics
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 The ANZIAM Journal
4 Quarterly of Applied Mathematics
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 Applied Mathematics. Series B (English Edition)
4 Mathematical and Computer Modelling of Dynamical Systems
4 Qualitative Theory of Dynamical Systems
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Mediterranean Journal of Mathematics
4 Open Mathematics
3 Bulletin of the Australian Mathematical Society
3 Indian Journal of Pure & Applied Mathematics
3 International Journal of Theoretical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Monatshefte für Mathematik
3 Results in Mathematics
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
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
...and 140 more Serials
all top 5

Cited in 37 Fields

2,338 Biology and other natural sciences (92-XX)
1,858 Ordinary differential equations (34-XX)
489 Dynamical systems and ergodic theory (37-XX)
364 Partial differential equations (35-XX)
152 Numerical analysis (65-XX)
135 Systems theory; control (93-XX)
110 Probability theory and stochastic processes (60-XX)
105 Difference and functional equations (39-XX)
105 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
103 Operator theory (47-XX)
55 Calculus of variations and optimal control; optimization (49-XX)
36 Integral equations (45-XX)
23 Real functions (26-XX)
14 Computer science (68-XX)
9 Combinatorics (05-XX)
7 Mechanics of particles and systems (70-XX)
7 Operations research, mathematical programming (90-XX)
6 General and overarching topics; collections (00-XX)
6 Statistics (62-XX)
6 Geophysics (86-XX)
4 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 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 General topology (54-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 Integral transforms, operational calculus (44-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Mathematics education (97-XX)

Citations by Year