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Freedman, Herbert Irving (b. 1940 d. 2017)

Author ID: freedman.herbert-i Recent zbMATH articles by "Freedman, Herbert Irving"
Published as: Freedman, H. I.; Freedman, Herb I.; Freedman, Herbert I.
External Links: MGP · GND
Documents Indexed: 152 Publications since 1968, including 1 Book
10 Contributions as Editor
Biographic References: 2 Publications
Co-Authors: 71 Co-Authors with 142 Joint Publications
2,305 Co-Co-Authors
all top 5

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 Liu, Wenxiang
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 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 Cruz-Hernández, César
1 Devi, Sapna
1 Fatima, Tazeen
1 Franko, A. J.
1 Gaĭshun, Ivan Vasil’evich
1 Gard, Thomas C.
1 Gebremedihen, A. H.
1 Hadeler, Karl-Peter
1 Hillen, Thomas
1 Izobov, Nikolaĭ Alekseevich
1 Jaya Lakshmi, 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 Wang, Hao
1 Weng, Xiaoqing
1 Xia, Huaxing
1 Xu, Yuantong
1 Yang, Feng
all top 5

Serials

18 Mathematical Biosciences
14 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 Differential Equations
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

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 5,394 times in 3,520 Documents Cited by Year
Deterministic mathematical models in population ecology. Zbl 0448.92023
Freedman, H. I.
662
1980
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
328
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.
320
1992
Uniformly persistent systems. Zbl 0603.34043
Butler, Geoffrey; Freedman, H. I.; Waltman, Paul
289
1986
Persistence in models of three interacting predator-prey populations. Zbl 0534.92026
Freedman, H. I.; Waltman, Paul
256
1984
Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033
Freedman, H. I.; Ruan, Shigui; Tang, Moxun
224
1994
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
220
1989
The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
Freedman, H. I.; Sree Hari Rao, V.
192
1983
Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016
Kuang, Yang; Freedman, H. I.
187
1988
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
146
1986
Global stability and persistence of simple food chains. Zbl 0572.92025
Freedman, H. I.; So, J. W.-H.
141
1985
Periodic solutions of single-species models with periodic delay. Zbl 0764.92016
Freedman, H. I.; Wu, Jianhong
134
1992
Mathematical analysis of some three-species food-chain models. Zbl 0363.92022
Freedman, H. I.; Waltman, Paul
120
1977
Uniform persistence in functional differential equations. Zbl 0814.34064
Freedman, H. I.; Ruan, Shigui
119
1995
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
108
1991
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
86
1985
Persistence and global asymptotic stability of single species dispersal models with stage structure. Zbl 0732.92021
Freedman, H. I.; Wu, J. H.
84
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
80
1991
Graphical stability, enrichment, and pest control by a natural enemy. Zbl 0373.92023
Freedman, H. I.
80
1976
Global stability and predator dynamics in a model of prey dispersal in a patchy environment. Zbl 0685.92018
Freedman, H. I.; Takeuchi, Y.
78
1989
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
71
1977
Coexistence in a model of competition in the chemostat incorporating discrete delays. Zbl 0676.92013
Freedman, H. I.; So, Joseph W.-H.; Waltman, Paul
69
1989
A model of predator-prey dynamics as modified by the action of a parasite. Zbl 0698.92024
Freedman, H. I.
65
1990
Persistence definitions and their connections. Zbl 0695.34049
Freedman, H. I.; Moson, P.
62
1990
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
55
1993
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
54
1986
A mathematical model of cancer treatment by immunotherapy. Zbl 0997.92024
Nani, Frank; Freedman, H. I.
53
2000
Stability switches in linear scalar neutral delay equations. Zbl 0749.34045
Freedman, H. I.; Kuang, Y.
50
1991
Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016
Freedman, H. I.
50
1979
Three-species food-chain models with mutual interference and time delays. Zbl 0592.92024
Erbe, L. H.; Freedman, H. I.; Sree Hari Rao, V.
49
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
44
1986
Global asymptotics in some quasimonotone reaction-diffusion systems with delays. Zbl 0885.35050
Freedman, H. I.; Zhao, Xiao-Qiang
38
1997
Analysis of three species models of mutualism in predator-prey and competitive systems. Zbl 0532.92025
Rai, Bindhyachal; Freedman, H. I.; Addicott, John F.
38
1983
Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039
Freedman, H. I.; Ruan, Shigui
37
1992
Stability criteria for a system involving two time delays. Zbl 0624.34066
Freedman, H. I.; Sree Hari Rao, V.
35
1986
A chemotherapy model for the treatment of cancer with metastasis. Zbl 1021.92014
Pinho, S. T. R.; Freedman, H. I.; Nani, F.
34
2002
Persistence in discrete semidynamical systems. Zbl 0676.92011
Freedman, H. I.; So, Joseph W.-H.
31
1989
A mathematical model of facultative mutualism with populations interacting in a food chain. Zbl 0695.92016
Kumar, Ravinder; Freedman, H. I.
31
1989
Models of competition in the chemostat with instantaneous and delayed nutrient recycling. Zbl 0778.92022
Freedman, H. I.; Xu, Yuantong
28
1993
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.
28
2013
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.
26
1989
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.
19
1990
Competing predators for a prey in a chemostat model with periodic nutrient input. Zbl 0825.92124
Yang, Feng; Freedman, H. I.
19
1991
Interactions leading to persistence in predator-prey systems with group defence. Zbl 0673.92011
Freedman, H. I.; Quan, Hongshun
19
1988
Periodic solutions of a predator-prey system with periodic coefficients. Zbl 0471.92020
Butler, G. J.; Freedman, H. I.
19
1981
Persistence in three-species food chain models with group defense. Zbl 0752.92027
Ruan, Shigui; Freedman, H. I.
17
1991
Population diffusion in a two-patch environment. Zbl 0672.92021
Freedman, H. I.; Shukla, J. B.; Takeuchi, Y.
17
1989
Monotone semiflows generated by neutral functional differential equations with application to compartmental systems. Zbl 0754.34081
Wu, Jianhong; Freedman, H. I.
17
1991
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
A control theory model for cancer treatment by radiotherapy. Zbl 1092.92024
Belostotski, G.; Freedman, H. I.
15
2005
Predator influence on the growth of a population with three genotypes. Zbl 0393.92012
Freedman, H. I.; Waltman, Paul
15
1978
Obligate mutualism with a predator: Stability and persistence of three- species models. Zbl 0638.92020
Freedman, H. I.; Addicott, John F.; Rai, Bindhyachal
13
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.
13
1984
Stability conditions for two predator one prey systems. Zbl 0669.92019
Farkas, M.; Freedman, H. I.
12
1989
Some global qualitative analyses of a single species neutral delay differential population model. Zbl 0831.34074
Freedman, H. I.; Kuang, Yang
12
1995
A mathematical model of vascular tumor treatment by chemotherapy. Zbl 1080.92045
Liu, Wenxiang; Freedman, H. I.
11
2005
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 with an unperturbed critical point. Zbl 0326.92002
Freedman, H. I.; Waltman, P.
11
1975
Perturbation of two-dimensional predator-prey equations. Zbl 0313.92001
Freedman, H. I.; Waltman, P.
11
1975
Can the speakers of a dominated language survive as unilinguals? A mathematical model of bilingualism. Zbl 0792.92033
Baggs, I.; Freedman, H. I.
10
1993
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
Uniform persistence and global stability in models involving mutualism. II: Competitor-competitor-mutualist systems. Zbl 0673.92010
Freedman, H. I.; Rai, Bindhyachal
10
1988
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
Uniqueness of limit cycles in Liénard-type equations. Zbl 0705.34038
Freedman, H. I.; Kuang, Y.
10
1990
Depletion of forestry resource biomass due to industrialization pressure: a ratio-dependent mathematical model. Zbl 1342.91023
Agarwal, Manju; Fatima, Tazeen; Freedman, H. I.
10
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.
10
2007
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
Persistence in a predator-prey-competitor-mutualist model. Zbl 0626.92016
Freedman, H. I.; Rai, Bindhyachal
9
1987
The implicit function theorem in the scalar case. Zbl 0189.33801
Freedman, H. I.
9
1969
A perturbed Kolmogorov-type model for the growth problem. Zbl 0321.92017
Freedman, H. I.
9
1975
Functionally commutative matrices and matrices with constant eigenvectors. Zbl 0346.15003
Freedman, H. I.
9
1976
On reaction-diffusion systems of zooplankton-phytoplankton-nutrient models. Zbl 0868.92026
Freedman, H. I.; Ruan, Shigui
8
1994
Analysis of a population model with space-dependent recruitment in continuous time. Zbl 0923.92022
Zhang, Shenghai; Freedman, H. I.; Liu, X. Z.
8
1999
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
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
Periodic solutions of single species models with delay. Zbl 0794.34056
Freedman, H. I.; Xia, Huaxing
7
1994
Persistence and extinction in a mathematical model of cell populations affected by radiation. Zbl 1164.92002
Freedman, H. I.; Pinho, S. T. R.
7
2008
Nonoccurence of stability switching in systems with discrete delays. Zbl 0607.34062
Freedman, H. I.; Gopalsamy, K.
6
1988
Global stability of Volterra models with time delay. Zbl 0760.34058
Weng, Xiaoqing; Ma, Zhien; Freedman, H. I.
6
1991
An explicit estimate on the norm of the inverse of a matrix. Zbl 0179.05103
Freedman, H. I.
6
1969
On a bifurcation theorem of Hopf and Friedrichs. Zbl 0371.34027
Freedman, H. I.
6
1977
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.
6
1995
Perturbed models for cancer treatment by radiotherapy. Zbl 1207.34057
Freedman, H. I.; Belostotski, G.
6
2009
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
Mathematical models of predator mutualists. Zbl 1061.34510
Freedman, H. I.; Kumar, R.; Easton, A. K.; Singh, M.
5
2001
Stability criteria for the cure state in a cancer model with radiation treatment. Zbl 1170.34331
Freedman, H. I.; Pinho, S. T. R.
5
2009
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 attractivity in a periodic chemostat with general uptake functions. Zbl 0997.92040
Peng, Qiu-Liang; Freedman, H. I.
5
2000
Can mutualism alter competitive outcome?: A mathematical analysis. Zbl 0832.34033
Freedman, H. I.; Rai, Bindhyachal
5
1995
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
Global stability in models of population dynamics with diffusion. I: Patchy environments. Zbl 0801.35053
Freedman, H. I.; Krisztin, T.
4
1992
Global stability in a diffusive stage-structured population system with two time delays. Zbl 0914.92016
Freedman, H. I.; Peng, Qiu-Liang
4
1997
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.
4
1994
Predator influence on the growth of a population with three genotypes. II. Zbl 0525.92014
Freedman, H. I.; Waltman, Paul
4
1982
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.
4
1992
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
Convergence to equilibria in general models of unilingual-bilingual interactions. Zbl 0737.92031
Freedman, H. I.; Baggs, I.
3
1991
Global attractivity in time-delayed predator-prey systems. Zbl 0882.92029
Cao, Yulin; Freedman, H. I.
3
1996
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.
28
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.
10
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
Perturbed models for cancer treatment by radiotherapy. Zbl 1207.34057
Freedman, H. I.; Belostotski, G.
6
2009
Stability criteria for the cure state in a cancer model with radiation treatment. Zbl 1170.34331
Freedman, H. I.; Pinho, S. T. R.
5
2009
Persistence and extinction in a mathematical model of cell populations affected by radiation. Zbl 1164.92002
Freedman, H. I.; Pinho, S. T. R.
7
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.
10
2007
An ecospheric recovery model for agriculture-industry interactions. Zbl 1166.34026
Agyemang, Ibrahim; Freedman, Herb I.; Macki, Jack W.
1
2007
A control theory model for cancer treatment by radiotherapy. Zbl 1092.92024
Belostotski, G.; Freedman, H. I.
15
2005
A mathematical model of vascular tumor treatment by chemotherapy. Zbl 1080.92045
Liu, Wenxiang; Freedman, H. I.
11
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.
34
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.
5
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.
53
2000
Global attractivity in a periodic chemostat with general uptake functions. Zbl 0997.92040
Peng, Qiu-Liang; Freedman, H. I.
5
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.
8
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
38
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
119
1995
Some global qualitative analyses of a single species neutral delay differential population model. Zbl 0831.34074
Freedman, H. I.; Kuang, Yang
12
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.
6
1995
Can mutualism alter competitive outcome?: A mathematical analysis. Zbl 0832.34033
Freedman, H. I.; Rai, Bindhyachal
5
1995
Stability analysis with respect to two measures for population growth models of Kolmogorov type. Zbl 0839.92014
Freedman, H. I.; Martynyuk, A. A.
2
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
224
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
8
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.
4
1994
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
55
1993
Models of competition in the chemostat with instantaneous and delayed nutrient recycling. Zbl 0778.92022
Freedman, H. I.; Xu, Yuantong
28
1993
Can the speakers of a dominated language survive as unilinguals? A mathematical model of bilingualism. Zbl 0792.92033
Baggs, I.; Freedman, H. I.
10
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.
320
1992
Periodic solutions of single-species models with periodic delay. Zbl 0764.92016
Freedman, H. I.; Wu, Jianhong
134
1992
Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039
Freedman, H. I.; Ruan, Shigui
37
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.
4
1992
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
108
1991
Persistence and global asymptotic stability of single species dispersal models with stage structure. Zbl 0732.92021
Freedman, H. I.; Wu, J. H.
84
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
80
1991
Stability switches in linear scalar neutral delay equations. Zbl 0749.34045
Freedman, H. I.; Kuang, Y.
50
1991
Competing predators for a prey in a chemostat model with periodic nutrient input. Zbl 0825.92124
Yang, Feng; Freedman, H. I.
19
1991
Persistence in three-species food chain models with group defense. Zbl 0752.92027
Ruan, Shigui; Freedman, H. I.
17
1991
Monotone semiflows generated by neutral functional differential equations with application to compartmental systems. Zbl 0754.34081
Wu, Jianhong; Freedman, H. I.
17
1991
Global stability of Volterra models with time delay. Zbl 0760.34058
Weng, Xiaoqing; Ma, Zhien; Freedman, H. I.
6
1991
Convergence to equilibria in general models of unilingual-bilingual interactions. Zbl 0737.92031
Freedman, H. I.; Baggs, I.
3
1991
A time-delay model of single-species growth with stage structure. Zbl 0719.92017
Aiello, Walter G.; Freedman, H. I.
328
1990
A model of predator-prey dynamics as modified by the action of a parasite. Zbl 0698.92024
Freedman, H. I.
65
1990
Persistence definitions and their connections. Zbl 0695.34049
Freedman, H. I.; Moson, P.
62
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.
19
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.
220
1989
Global stability and predator dynamics in a model of prey dispersal in a patchy environment. Zbl 0685.92018
Freedman, H. I.; Takeuchi, Y.
78
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
69
1989
Persistence in discrete semidynamical systems. Zbl 0676.92011
Freedman, H. I.; So, Joseph W.-H.
31
1989
A mathematical model of facultative mutualism with populations interacting in a food chain. Zbl 0695.92016
Kumar, Ravinder; Freedman, H. I.
31
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.
26
1989
Population diffusion in a two-patch environment. Zbl 0672.92021
Freedman, H. I.; Shukla, J. B.; Takeuchi, Y.
17
1989
Stability conditions for two predator one prey systems. Zbl 0669.92019
Farkas, M.; Freedman, H. I.
12
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
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.
187
1988
Interactions leading to persistence in predator-prey systems with group defence. Zbl 0673.92011
Freedman, H. I.; Quan, Hongshun
19
1988
Uniform persistence and global stability in models involving mutualism. II: Competitor-competitor-mutualist systems. Zbl 0673.92010
Freedman, H. I.; Rai, Bindhyachal
10
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
13
1987
Persistence in a predator-prey-competitor-mutualist model. Zbl 0626.92016
Freedman, H. I.; Rai, Bindhyachal
9
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
289
1986
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
146
1986
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
54
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.
49
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
44
1986
Stability criteria for a system involving two time delays. Zbl 0624.34066
Freedman, H. I.; Sree Hari Rao, V.
35
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.
141
1985
Persistence in a model of three competitive populations. Zbl 0584.92018
Freedman, H. I.; Waltman, Paul
86
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
256
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.
13
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.
192
1983
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Cited by 3,832 Authors

116 Chen, Lansun
75 Freedman, Herbert Irving
53 Teng, Zhi-dong
48 Misra, Arvind Kumar
45 Chattopadhyay, Joydev
39 Jiang, Daqing
38 Wang, Yuanshi
37 Xu, Rui
36 Takeuchi, Yasuhiro
35 Samanta, Guru Prasad
35 Song, Xinyu
34 Jiao, Jianjun
33 Venturino, Ezio
29 Wu, Jianhong
28 Ruan, Shigui
28 Wang, Ke
27 Kar, Tapan Kumar
26 Cui, Jingan
26 González-Olivares, Eduardo
25 Kuang, Yang
25 Liu, Meng
25 Samanta, Sudip
23 Banerjee, Malay
23 Chen, Fengde
23 Wei, Junjie
22 Chaplain, Mark A. J.
22 Kumar Upadhyay, Ranjit
22 Yuan, Rong
21 Gakkhar, Sunita
21 Liu, Shengqiang
21 Rojas-Palma, Alejandro
21 Tiwari, Pankaj Kumar
20 Huo, Hai-Feng
20 Meng, Xinzhu
20 Shukla, Jang Bahadur
20 Tang, Sanyi
20 Wolkowicz, Gail S. K.
20 Zhang, Long
19 Cai, Shaohong
19 Jin, Zhen
19 Pei, Yongzhen
18 Hernández, Eduardo M.
18 Li, Wan-Tong
18 Liu, Zhijun
18 Lv, Yunfei
18 Wang, Hao
17 Haque, Mainul
17 Li, Michael Yi
17 Ma, Zhien
17 Mukherjee, Debasis
17 Tripathi, Jai Prakash
17 Waltman, Paul Elvis
17 Yuan, Sanling
17 Zhao, Xiao-Qiang
16 Davidson, Fordyce A.
16 Dubey, Balram
16 Han, Maoan
16 Khajanchi, Subhas
16 Liu, Xinzhi
16 Ma, Wanbiao
16 Xiao, Yanni
15 Li, Yongkun
15 Liu, Bing
15 Naji, Raid Kamel
15 Wu, Hong
14 Bairagi, Nandadulal
14 Cao, Jinde
14 Fan, Meng
14 Fan, Yonghong
14 Guo, Shangjiang
14 Shi, Xiangyun
14 Xia, Yonghui
14 Zhou, Xueyong
13 Benchohra, Mouffak
13 Chandra, Peeyush
13 Dhar, Joydip
13 Gao, Shujing
13 Liu, Zijian
13 Nieto Roig, Juan Jose
13 Wang, Wendi
12 Huang, Jicai
12 Jang, Sophia R.-J.
12 Jiang, Jifa
12 Li, Xuezhi
12 Liu, Chao
12 O’Regan, Donal
12 Pal, Nikhil Ranjan
12 Rao, Vadrevu Sree Hari
12 Sahoo, Banshidhar
12 Sun, Guiquan
12 Wang, Lin
12 Wang, Linlin
12 Zhang, Qingling
11 Banerjee, Sandip
11 Chatterjee, Samrat
11 Das, Krishnapada
11 Hsu, Szebi
11 Jiang, Weihua
11 Ko, Wonlyul
11 Kuniya, Toshikazu
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122 Chaos, Solitons and Fractals
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86 Advances in Difference Equations
84 Journal of Differential Equations
84 International Journal of Biomathematics
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66 Bulletin of Mathematical Biology
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64 Discrete and Continuous Dynamical Systems. Series B
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28 Acta Mathematicae Applicatae Sinica. English Series
26 Applied Mathematics Letters
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23 Applicable Analysis
19 Journal of Dynamics and Differential Equations
19 Qualitative Theory of Dynamical Systems
18 Proceedings of the American Mathematical Society
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16 Acta Applicandae Mathematicae
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13 International Journal of Computer Mathematics
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5 Gaṇita
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Stochastic Analysis and Applications
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5 The ANZIAM Journal
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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4 Indian Journal of Pure & Applied Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
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