×
Compute Distance To:
Author ID: brauer.fred Recent zbMATH articles by "Brauer, Fred"
Published as: Brauer, Fred; Brauer, F.
Further Spellings: Brauer, Frederick Guenther
Homepage: https://www.math.ubc.ca/~cytryn/MathBio/brauer.php
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef
Documents Indexed: 135 Publications since 1958, including 11 Books
2 Contributions as Editor
Reviewing Activity: 70 Reviews
Biographic References: 1 Publication
Co-Authors: 47 Co-Authors with 57 Joint Publications
1,542 Co-Co-Authors
all top 5

Serials

10 Journal of Mathematical Analysis and Applications
10 Mathematical Biosciences and Engineering
7 Journal of Mathematical Biology
7 Mathematical Biosciences
6 Journal of Biological Dynamics
5 International Journal of Control
4 Canadian Journal of Mathematics
4 Journal of Differential Equations
3 American Mathematical Monthly
3 Bulletin of Mathematical Biology
3 SIAM Journal on Mathematical Analysis
3 Dynamics of Continuous, Discrete and Impulsive Systems
3 Natural Resource Modeling
3 Texts in Applied Mathematics
2 Rocky Mountain Journal of Mathematics
2 American Journal of Mathematics
2 Canadian Mathematical Bulletin
2 Michigan Mathematical Journal
2 Proceedings of the American Mathematical Society
2 Theoretical Population Biology
2 Electronic Journal of Differential Equations (EJDE)
1 Computers & Mathematics with Applications
1 Advances in Mathematics
1 Mathematical Systems Theory
1 Pacific Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 IMA Journal of Mathematics Applied in Medicine and Biology
1 Mathematical and Computer Modelling
1 Journal of Integral Equations and Applications
1 Differential and Integral Equations
1 Journal of Dynamics and Differential Equations
1 Mathematical Population Studies
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Discrete and Continuous Dynamical Systems. Series B
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Lecture Notes in Mathematics
1 Journal of Theoretical Biology
1 Anais da Academia Brasileira de Ciências
1 Advances in Applied Mathematics (Boca Raton)

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 2,400 times in 1,900 Documents Cited by Year
Mathematical models in population biology and epidemiology. Zbl 0967.92015
Brauer, Fred; Castillo-Chávez, Carlos
417
2001
Mathematical models in population biology and epidemiology. 2nd ed. Zbl 1302.92001
Brauer, Fred; Castillo-Chavez, Carlos
242
2012
Models for transmission of disease with immigration of infectives. Zbl 0995.92041
Brauer, Fred; van den Driessche, P.
87
2001
Mathematical epidemiology. Zbl 1159.92034
84
2008
Backward bifurcations in simple vaccination models. Zbl 1063.92037
Brauer, Fred
83
2004
The qualitative theory of ordinary differential equations. An introduction. Zbl 0179.13202
Brauer, Fred; Nohel, John A.
76
1969
Perturbations of nonlinear systems of differential equations. Zbl 0156.09805
Brauer, Fred
60
1966
Stability regions in predator-prey systems with constant-rate prey harvesting. Zbl 0406.92020
Brauer, F.; Soudack, A. C.
58
1979
Stability regions and transition phenomena for harvested predator-prey systems. Zbl 0397.92019
Brauer, F.; Soudack, A. C.
54
1979
Dynamics of an age-of-infection cholera model. Zbl 1273.92050
Brauer, Fred; Shuai, Zhisheng; van den Driessche, P.
53
2013
Viral dynamics model with CTL immune response incorporating antiretroviral therapy. Zbl 1279.34059
Wang, Yan; Zhou, Yicang; Brauer, Fred; Heffernan, Jane M.
53
2013
Coexistence properties of some predator-prey systems under constant rate harvesting and stocking. Zbl 0482.92015
Brauer, F.; Soudack, A. C.
51
1981
Compartmental models in epidemiology. Zbl 1206.92023
Brauer, Fred
48
2008
Models for the spread of universally fatal diseases. Zbl 0718.92021
Brauer, F.
43
1990
A discrete epidemic model for SARS transmission and control in China. Zbl 1066.92046
Zhou, Yicang; Ma, Zhien; Brauer, F.
41
2004
A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
40
2008
A final size relation for epidemic models. Zbl 1123.92030
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
39
2007
Constant rate population harvesting: Equilibrium and stability. Zbl 0313.92012
Brauer, Fred; Sanchez, David A.
38
1975
Mathematical models in epidemiology. Zbl 1433.92001
Brauer, Fred; Castillo-Chavez, Carlos; Feng, Zhilan
35
2019
Perturbations of nonlinear systems of differential equations. II. Zbl 0238.34083
Brauer, Fred
32
1967
On the asymptotic relationships between solutions of two systems of ordinary differential equations. Zbl 0185.16601
Brauer, Fred; Wong, J. S. W.
29
1969
The Kermack–McKendrick epidemic model revisited. Zbl 1090.92042
Brauer, Fred
27
2005
Stability of stage-structured population models. Zbl 0634.92014
Brauer, Fred; Zhien, Ma
26
1987
Epidemic models with heterogeneous mixing and treatment. Zbl 1147.92033
Brauer, Fred
26
2008
On asymptotic behavior of perturbed linear systems. Zbl 0201.11703
Brauer, Fred; Wong, J. S. W.
24
1969
Perturbations of nonlinear systems of differential equations. III. Zbl 0206.37802
Brauer, Fred; Strauss, Aaron
24
1970
Global analysis of discrete-time SI and SIS epidemic models. Zbl 1142.92038
Li, Jianquan; Ma, Zhien; Brauer, Fred
22
2007
Some simple epidemic models. Zbl 1089.92042
Brauer, Fred
22
2006
Nonlinear differential equations with forcing terms. Zbl 0126.30004
Brauer, Fred
21
1964
Discrete epidemic models. Zbl 1184.92040
Brauer, Fred; Feng, Zhilan; Castillo-Chavez, Carlos
20
2010
On a nonlinear integral equation for population growth problems. Zbl 0276.92023
Brauer, Fred
20
1975
Constant-rate stocking of predator-prey systems. Zbl 0448.92020
Brauer, F.; Soudack, A. C.
20
1981
Bounds for solutions of ordinary differential equations. Zbl 0113.06803
Brauer, Fred
20
1963
Age-of-infection and the final size relation. Zbl 1166.92321
Brauer, Fred
18
2008
Asymptotic stability of a class of integro-differential equations. Zbl 0385.34023
Brauer, Fred
18
1978
Global behavior of solutions of ordinary differential equations. Zbl 0101.30305
Brauer, Fred
17
1961
Periodic environments and periodic harvesting. Zbl 1067.92056
Brauer, Fred; Sánchez, David A.
16
2003
Perturbations of nonlinear systems of differential equations. IV. Zbl 0195.10002
Brauer, Fred
15
1972
A nonlinear variation of constants formula for Volterra equations. Zbl 0241.45006
Brauer, Fred
15
1972
Oscillations in a patchy environment disease model. Zbl 1176.34098
Brauer, Fred; van den Driessche, P.; Wang, Lin
15
2008
Absolute stability in delay equations. Zbl 0636.34063
Brauer, Fred
13
1987
A delay-dependent model with HIV drug resistance during therapy. Zbl 1308.92105
Wang, Yan; Brauer, Fred; Wu, Jianhong; Heffernan, Jane M.
13
2014
Constant rate harvesting of populations governed by Volterra integral equations. Zbl 0332.92008
Brauer, Fred
12
1976
Continuous-time age-structured models in population dynamics and epidemiology. Zbl 1206.92021
Li, Jia; Brauer, Fred
12
2008
Asymptotic equivalence and asymptotic behaviour of linear systems. Zbl 0111.08603
Brauer, Fred
12
1962
Models for the spread of universally fatal diseases. II. Zbl 0737.92014
Brauer, Fred
11
1991
Backward bifurcations in simple vaccination/treatment models. Zbl 1225.92029
Brauer, Fred
11
2011
Stabilization and de-stabilization of predator-prey systems under harvesting and nutrient enrichment. Zbl 0317.92003
Brauer, F.; Soudack, A. C.; Jarosch, H. S.
11
1976
Mathematical models for communicable diseases. Zbl 1353.92001
Brauer, Fred; Castillo-Chavez, Carlos
11
2013
Local uniqueness, existence in the large, and the convergence of successive approximations. Zbl 0082.06801
Brauer, Fred; Sternberg, Shlomo
11
1958
Epidemic models in populations of varying size. Zbl 0684.92016
Brauer, Fred
10
1989
Spectral theory for linear systems of differential equations. Zbl 0188.46302
Brauer, Fred
9
1960
Some directions for mathematical epidemiology. Zbl 1162.92319
Brauer, Fred; van den Driessche, P.
9
2003
Can treatment increase the epidemic size? Zbl 1353.92106
Xiao, Yanyu; Brauer, Fred; Moghadas, Seyed M.
8
2016
Stability of some population models with delay. Zbl 0362.92014
Brauer, Fred
8
1977
Effects of treatment and prevalence-dependent recruitment on the dynamics of a fatal disease. Zbl 0857.92015
Velasco-Hernández, Jorge X.; Brauer, Fred; Castillo-Chavez, Carlos
8
1996
An introduction to networks in epidemic modeling. Zbl 1206.92024
Brauer, Fred
8
2008
Age of infection epidemic models with heterogeneous mixing. Zbl 1342.92228
Brauer, Fred; Watmough, James
7
2009
Some results on uniqueness and successive approximations. Zbl 0142.34305
Brauer, Fred
7
1959
Calculation of \({\mathcal R}_0\) for age-of-infection models. Zbl 1158.92037
Yang, Christine K.; Brauer, Fred
7
2008
Boundedness of solutions of predator-prey systems. Zbl 0399.92015
Brauer, Fred
7
1979
Decay rates for solutions of a class of differential-difference equations. Zbl 0417.34114
Brauer, Fred
7
1979
The final size of a serious epidemic. Zbl 1415.92172
Brauer, Fred
7
2019
Age of infection in epidemiology models. Zbl 1081.92034
Brauer, Fred
6
2005
Ordinary differential equations: A first course. Zbl 0162.10801
Brauer, Fred; Nohel, John A.
6
1967
Some infectious disease models with population dynamics and general contact rates. Zbl 0722.92014
Brauer, Fred
6
1990
Nonlinear age-dependent population growth under harvesting. Zbl 0526.92018
Brauer, Fred
5
1983
Perturbations of the nonlinear renewal equation. Zbl 0341.45030
Brauer, Fred
5
1976
Singular self-adjoint boundary value problems for the differential equation \(Lx =\lambda Mx\). Zbl 0141.27802
Brauer, Fred
5
1958
Spectral theory for the differential equation \(Lu =\lambda Mu\). Zbl 0141.27901
Brauer, Fred
5
1958
Some refinements of Lyapunov’s second method. Zbl 0173.10601
Brauer, Fred
5
1965
A model for an SI disease in an age-structured population. Zbl 0994.92033
Brauer, Fred
5
2002
Characteristic return times for harvested population models with time lag. Zbl 0412.92017
Brauer, Fred
5
1979
A class of Volterra integral equations arising in delayed-recruitment population models. Zbl 0850.92072
Brauer, Fred
5
1987
Constant-rate harvesting of age-structured populations. Zbl 0548.92011
Brauer, Fred
4
1983
Ordinary differential equations: A first course. 2nd ed. Zbl 0274.34002
Brauer, Fred; Nohel, John A.
4
1973
De-stabilization of predator-prey systems under enrichment. Zbl 0319.92012
Brauer, Fred
4
1976
Basic ideas of mathematical epidemiology. Zbl 1036.92027
Brauer, Fred
4
2002
Errata to our paper ’Local uniqueness etc.’ (this journal, vol 80, pp. 421-430). Zbl 0114.28603
Brauer, Fred; Sternberg, Shlomo
4
1959
A note on uniqueness and convergence of successive approximations. Zbl 0084.07801
Brauer, Fred
4
1959
Optimal harvesting in predator-prey systems. Zbl 0554.92017
Brauer, Fred; Soudack, A. C.
3
1985
Response of predator-prey systems to nutrient enrichment and proportional harvesting. Zbl 0367.92011
Brauer, F.; Soudack, A. C.
3
1978
Recruitment into a core group and its effect on the spread of a sexually transmitted disease. Zbl 0930.92022
Brauer, Fred; Castillo-Chavez, Carlos; Velasco-Hernandez, Jorge X.
3
1997
Models for diseases with vertical transmission and nonlinear population dynamics. Zbl 0832.92018
Brauer, Fred
3
1995
The basic reproduction number of infectious diseases: computation and estimation using compartmental epidemic models. Zbl 1345.92136
Chowell, Gerardo; Brauer, Fred
3
2009
A new epidemic model with indirect transmission. Zbl 1447.92400
Brauer, Fred
3
2017
Dynamical systems for biological modeling. An introduction. Zbl 1336.92001
Brauer, Fred; Kribs, Christopher
2
2016
Some simple nosocomial disease transmission models. Zbl 1345.92135
Brauer, Fred
2
2015
Variable infectivity in communicable disease models. Zbl 0843.92019
Brauer, Fred
2
1996
Nonlinear perturbations of Sturm-Liouville boundary value problems. Zbl 0162.11702
Brauer, Fred
2
1968
Modeling influenza: Pandemics and seasonal epidemics. Zbl 1206.92015
Brauer, Fred
2
2008
What goes up must come down, eventually. Zbl 1108.70300
Brauer, Fred
2
2001
Drug resistance in an age-of-infection model. Zbl 1409.92229
Brauer, Fred; Xiao, Yanyu; Moghadas, Seyed M.
2
2017
Early estimates of epidemic final sizes. Zbl 1447.92399
Brauer, Fred
2
2019
Mutualism models with non-linear growth rates. Zbl 0571.92024
Brauer, F.; Soudack, A. C.
1
1985
Analysis of a characteristic equation. Zbl 0756.45014
Hao, Dun-Yuan; Brauer, Fred
1
1991
On the populations of competing species. Zbl 0281.92010
Brauer, Fred
1
1974
Green’s functions for singular ordinary differential operators. Zbl 0155.41201
Brauer, Fred
1
1967
On the completeness of biorthogonal systems. Zbl 0185.37402
Brauer, Fred
1
1964
Infectious disease models with chronological age structure and epidemiological age structure. Zbl 1022.92027
Brauer, Fred
1
2002
A novel approach to modelling the spatial spread of airborne diseases: an epidemic model with indirect transmission. Zbl 1467.92186
David, Jummy F.; Iyaniwura, Sarafa A.; Ward, Michael J.; Brauer, Fred
1
2020
Mathematical models in epidemiology. Zbl 1433.92001
Brauer, Fred; Castillo-Chavez, Carlos; Feng, Zhilan
35
2019
The final size of a serious epidemic. Zbl 1415.92172
Brauer, Fred
7
2019
Early estimates of epidemic final sizes. Zbl 1447.92399
Brauer, Fred
2
2019
A new epidemic model with indirect transmission. Zbl 1447.92400
Brauer, Fred
3
2017
Drug resistance in an age-of-infection model. Zbl 1409.92229
Brauer, Fred; Xiao, Yanyu; Moghadas, Seyed M.
2
2017
Can treatment increase the epidemic size? Zbl 1353.92106
Xiao, Yanyu; Brauer, Fred; Moghadas, Seyed M.
8
2016
Dynamical systems for biological modeling. An introduction. Zbl 1336.92001
Brauer, Fred; Kribs, Christopher
2
2016
Age of infection epidemic models. Zbl 1347.92079
Brauer, Fred
1
2016
Some simple nosocomial disease transmission models. Zbl 1345.92135
Brauer, Fred
2
2015
A delay-dependent model with HIV drug resistance during therapy. Zbl 1308.92105
Wang, Yan; Brauer, Fred; Wu, Jianhong; Heffernan, Jane M.
13
2014
Dynamics of an age-of-infection cholera model. Zbl 1273.92050
Brauer, Fred; Shuai, Zhisheng; van den Driessche, P.
53
2013
Viral dynamics model with CTL immune response incorporating antiretroviral therapy. Zbl 1279.34059
Wang, Yan; Zhou, Yicang; Brauer, Fred; Heffernan, Jane M.
53
2013
Mathematical models for communicable diseases. Zbl 1353.92001
Brauer, Fred; Castillo-Chavez, Carlos
11
2013
Mathematical models in population biology and epidemiology. 2nd ed. Zbl 1302.92001
Brauer, Fred; Castillo-Chavez, Carlos
242
2012
Estimates of tuberculosis progression rate of children in China. Zbl 1447.92404
Cao, Hui; Zhou, Yicang; Brauer, Fred
1
2012
Backward bifurcations in simple vaccination/treatment models. Zbl 1225.92029
Brauer, Fred
11
2011
Pandemic influenza: modelling and public health perspectives. Zbl 1260.92046
Arino, Julien; Bauch, Chris; Brauer, Fred; Driedger, S. Michelle; Greer, Amy L.; Moghadas, S. M.; Pizzi, Nick J.; Sander, Beate; Tuite, Ashleigh; Van den Driessche, P.; Watmough, James; Wu, Jianhong; Yan, Ping
1
2011
Discrete epidemic models. Zbl 1184.92040
Brauer, Fred; Feng, Zhilan; Castillo-Chavez, Carlos
20
2010
General compartmental epidemic models. Zbl 1201.92056
Brauer, Fred
1
2010
Age of infection epidemic models with heterogeneous mixing. Zbl 1342.92228
Brauer, Fred; Watmough, James
7
2009
The basic reproduction number of infectious diseases: computation and estimation using compartmental epidemic models. Zbl 1345.92136
Chowell, Gerardo; Brauer, Fred
3
2009
Mathematical epidemiology. Zbl 1159.92034
84
2008
Compartmental models in epidemiology. Zbl 1206.92023
Brauer, Fred
48
2008
A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
40
2008
Epidemic models with heterogeneous mixing and treatment. Zbl 1147.92033
Brauer, Fred
26
2008
Age-of-infection and the final size relation. Zbl 1166.92321
Brauer, Fred
18
2008
Oscillations in a patchy environment disease model. Zbl 1176.34098
Brauer, Fred; van den Driessche, P.; Wang, Lin
15
2008
Continuous-time age-structured models in population dynamics and epidemiology. Zbl 1206.92021
Li, Jia; Brauer, Fred
12
2008
An introduction to networks in epidemic modeling. Zbl 1206.92024
Brauer, Fred
8
2008
Calculation of \({\mathcal R}_0\) for age-of-infection models. Zbl 1158.92037
Yang, Christine K.; Brauer, Fred
7
2008
Modeling influenza: Pandemics and seasonal epidemics. Zbl 1206.92015
Brauer, Fred
2
2008
A final size relation for epidemic models. Zbl 1123.92030
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
39
2007
Global analysis of discrete-time SI and SIS epidemic models. Zbl 1142.92038
Li, Jianquan; Ma, Zhien; Brauer, Fred
22
2007
Some simple epidemic models. Zbl 1089.92042
Brauer, Fred
22
2006
Zhien Ma’s contributions to dynamical systems, ecotoxicology and epidemiology – a scientific leader, educator and scholar. Zbl 1096.01502
Brauer, Fred; Castillo-Chevez, Carlos; Hallam, Thomas G.; Li, Jia; Zhou, Yicang
1
2006
The Kermack–McKendrick epidemic model revisited. Zbl 1090.92042
Brauer, Fred
27
2005
Age of infection in epidemiology models. Zbl 1081.92034
Brauer, Fred
6
2005
Backward bifurcations in simple vaccination models. Zbl 1063.92037
Brauer, Fred
83
2004
A discrete epidemic model for SARS transmission and control in China. Zbl 1066.92046
Zhou, Yicang; Ma, Zhien; Brauer, F.
41
2004
Periodic environments and periodic harvesting. Zbl 1067.92056
Brauer, Fred; Sánchez, David A.
16
2003
Some directions for mathematical epidemiology. Zbl 1162.92319
Brauer, Fred; van den Driessche, P.
9
2003
Disease mortality in epidemic models. Zbl 1021.92029
Brauer, Fred
1
2003
A model for an SI disease in an age-structured population. Zbl 0994.92033
Brauer, Fred
5
2002
Basic ideas of mathematical epidemiology. Zbl 1036.92027
Brauer, Fred
4
2002
Infectious disease models with chronological age structure and epidemiological age structure. Zbl 1022.92027
Brauer, Fred
1
2002
Mathematical models in population biology and epidemiology. Zbl 0967.92015
Brauer, Fred; Castillo-Chávez, Carlos
417
2001
Models for transmission of disease with immigration of infectives. Zbl 0995.92041
Brauer, Fred; van den Driessche, P.
87
2001
What goes up must come down, eventually. Zbl 1108.70300
Brauer, Fred
2
2001
Recruitment into a core group and its effect on the spread of a sexually transmitted disease. Zbl 0930.92022
Brauer, Fred; Castillo-Chavez, Carlos; Velasco-Hernandez, Jorge X.
3
1997
Effects of treatment and prevalence-dependent recruitment on the dynamics of a fatal disease. Zbl 0857.92015
Velasco-Hernández, Jorge X.; Brauer, Fred; Castillo-Chavez, Carlos
8
1996
Variable infectivity in communicable disease models. Zbl 0843.92019
Brauer, Fred
2
1996
Models for diseases with vertical transmission and nonlinear population dynamics. Zbl 0832.92018
Brauer, Fred
3
1995
Models for the spread of universally fatal diseases. II. Zbl 0737.92014
Brauer, Fred
11
1991
Analysis of a characteristic equation. Zbl 0756.45014
Hao, Dun-Yuan; Brauer, Fred
1
1991
Models for the spread of universally fatal diseases. Zbl 0718.92021
Brauer, F.
43
1990
Some infectious disease models with population dynamics and general contact rates. Zbl 0722.92014
Brauer, Fred
6
1990
Epidemic models in populations of varying size. Zbl 0684.92016
Brauer, Fred
10
1989
Harvesting in population models with delayed recruitment and age-dependent mortality. Zbl 0850.92065
Brauer, Fred; Rollins, David; Soudack, A. C.
1
1988
Stability of stage-structured population models. Zbl 0634.92014
Brauer, Fred; Zhien, Ma
26
1987
Absolute stability in delay equations. Zbl 0636.34063
Brauer, Fred
13
1987
A class of Volterra integral equations arising in delayed-recruitment population models. Zbl 0850.92072
Brauer, Fred
5
1987
Optimal harvesting in predator-prey systems. Zbl 0554.92017
Brauer, Fred; Soudack, A. C.
3
1985
Mutualism models with non-linear growth rates. Zbl 0571.92024
Brauer, F.; Soudack, A. C.
1
1985
Nonlinear age-dependent population growth under harvesting. Zbl 0526.92018
Brauer, Fred
5
1983
Constant-rate harvesting of age-structured populations. Zbl 0548.92011
Brauer, Fred
4
1983
Coexistence properties of some predator-prey systems under constant rate harvesting and stocking. Zbl 0482.92015
Brauer, F.; Soudack, A. C.
51
1981
Constant-rate stocking of predator-prey systems. Zbl 0448.92020
Brauer, F.; Soudack, A. C.
20
1981
Stability regions in predator-prey systems with constant-rate prey harvesting. Zbl 0406.92020
Brauer, F.; Soudack, A. C.
58
1979
Stability regions and transition phenomena for harvested predator-prey systems. Zbl 0397.92019
Brauer, F.; Soudack, A. C.
54
1979
Boundedness of solutions of predator-prey systems. Zbl 0399.92015
Brauer, Fred
7
1979
Decay rates for solutions of a class of differential-difference equations. Zbl 0417.34114
Brauer, Fred
7
1979
Characteristic return times for harvested population models with time lag. Zbl 0412.92017
Brauer, Fred
5
1979
Harvesting strategies for population systems. Zbl 0423.92032
Brauer, Fred
1
1979
Asymptotic stability of a class of integro-differential equations. Zbl 0385.34023
Brauer, Fred
18
1978
Response of predator-prey systems to nutrient enrichment and proportional harvesting. Zbl 0367.92011
Brauer, F.; Soudack, A. C.
3
1978
Stability of some population models with delay. Zbl 0362.92014
Brauer, Fred
8
1977
Constant rate harvesting of populations governed by Volterra integral equations. Zbl 0332.92008
Brauer, Fred
12
1976
Stabilization and de-stabilization of predator-prey systems under harvesting and nutrient enrichment. Zbl 0317.92003
Brauer, F.; Soudack, A. C.; Jarosch, H. S.
11
1976
Perturbations of the nonlinear renewal equation. Zbl 0341.45030
Brauer, Fred
5
1976
De-stabilization of predator-prey systems under enrichment. Zbl 0319.92012
Brauer, Fred
4
1976
Some applications of the theory of ordinary differential equations to population growth problems. Zbl 0376.92015
Brauer, Fred
1
1976
Constant rate population harvesting: Equilibrium and stability. Zbl 0313.92012
Brauer, Fred; Sanchez, David A.
38
1975
On a nonlinear integral equation for population growth problems. Zbl 0276.92023
Brauer, Fred
20
1975
On the populations of competing species. Zbl 0281.92010
Brauer, Fred
1
1974
Ordinary differential equations: A first course. 2nd ed. Zbl 0274.34002
Brauer, Fred; Nohel, John A.
4
1973
Perturbations of nonlinear systems of differential equations. IV. Zbl 0195.10002
Brauer, Fred
15
1972
A nonlinear variation of constants formula for Volterra equations. Zbl 0241.45006
Brauer, Fred
15
1972
Perturbations of nonlinear systems of differential equations. III. Zbl 0206.37802
Brauer, Fred; Strauss, Aaron
24
1970
The qualitative theory of ordinary differential equations. An introduction. Zbl 0179.13202
Brauer, Fred; Nohel, John A.
76
1969
On the asymptotic relationships between solutions of two systems of ordinary differential equations. Zbl 0185.16601
Brauer, Fred; Wong, J. S. W.
29
1969
On asymptotic behavior of perturbed linear systems. Zbl 0201.11703
Brauer, Fred; Wong, J. S. W.
24
1969
Nonlinear perturbations of Sturm-Liouville boundary value problems. Zbl 0162.11702
Brauer, Fred
2
1968
Perturbations of nonlinear systems of differential equations. II. Zbl 0238.34083
Brauer, Fred
32
1967
Ordinary differential equations: A first course. Zbl 0162.10801
Brauer, Fred; Nohel, John A.
6
1967
Green’s functions for singular ordinary differential operators. Zbl 0155.41201
Brauer, Fred
1
1967
Perturbations of nonlinear systems of differential equations. Zbl 0156.09805
Brauer, Fred
60
1966
Some refinements of Lyapunov’s second method. Zbl 0173.10601
Brauer, Fred
5
1965
Nonlinear differential equations with forcing terms. Zbl 0126.30004
Brauer, Fred
21
1964
On the completeness of biorthogonal systems. Zbl 0185.37402
Brauer, Fred
1
1964
...and 10 more Documents
all top 5

Cited by 2,873 Authors

41 Brauer, Fred
28 Teng, Zhi-dong
22 Castillo-Chavez, Carlos
19 van den Driessche, Pauline
16 Sugie, Jitsuro
15 Wang, Wendi
14 Jin, Zhen
14 Wu, Jianhong
13 Gumel, Abba B.
13 Xu, Rui
12 González-Parra, Gilberto C.
11 Chowell, Gerardo
11 Kar, Tapan Kumar
11 Liu, Shengqiang
11 Martcheva, Maia
11 Qiu, Zhipeng
11 Ruan, Shigui
11 Villanueva, Rafael-Jacinto
10 Arenas, Abraham J.
10 Braverman, Elena
10 Buonomo, Bruno
10 Cai, Yongli
10 Chen, Lansun
10 Cui, Jingan
10 Feng, Zhilan
10 Li, Jianquan
10 Samanta, Guru Prasad
10 Wang, Weiming
10 Wang, Yan
10 Xiao, Yanni
9 Berezansky, Leonid M.
9 Hallam, Thomas G.
9 Lakshmikantham, Vangipuram
9 Ma, Zhien
9 Miao, Hui
9 Wang, Jinliang
9 Yakubu, Abdul-Aziz
9 Zhang, Tailei
8 Allen, Linda J. S.
8 Chen, Yuming
8 Din, Qamar
8 Gopalsamy, Kondalsamy
8 Magal, Pierre
8 Mukandavire, Zindoga
8 Proctor, T. G.
8 Rong, Libin
8 Röst, Gergely
8 Song, Xinyu
8 Soudack, A. C.
8 Zhu, Huaiping
7 Cortés López, Juan Carlos
7 Li, Xuezhi
7 Lou, Yijun
7 Webb, Glenn Francis
7 Xiao, Dongmei
6 Agusto, Folashade B.
6 Banerjee, Malay
6 Bowong, Samuel
6 Burton, Theodore Allen
6 Cai, Liming
6 Chaplain, Mark A. J.
6 Dubey, Balram
6 Hilker, Frank M.
6 Idels, Lev V.
6 Jiang, Daqing
6 Kang, Yun
6 Kuniya, Toshikazu
6 Kwon, Hee-Dae
6 Lee, Jeehyun
6 Ma, Junling
6 Moghadas, Seyed M.
6 Mushayabasa, Steady
6 Pinto, Manuel
6 Rao, M. Rama Mohana
6 Safan, Muntaser
6 Srivastava, Prashant Kr.
6 Sun, Chengjun
6 Tripathi, Agraj
6 Valverde, Jose C.
6 Zhang, Suxia
6 Zou, Xingfu
5 Alsharawi, Ziyad
5 Banks, Stephen Paul
5 Bhunu, Claver Pedzisai
5 Cao, Hui
5 Cao, Jinde
5 Chiyaka, Christinah
5 Cui, Renhao
5 Davidson, Fordyce A.
5 Dimitrov, Dobromir T.
5 d’Onofrio, Alberto
5 Garba, Salisu M.
5 Guo, Ting
5 Han, Maoan
5 Huo, Hai-Feng
5 Jódar Sanchez, Lucas Antonio
5 Kojouharov, Hristo V.
5 Kumar Upadhyay, Ranjit
5 Lacitignola, Deborah
5 Langlais, Michel R.
...and 2,773 more Authors
all top 5

Cited in 269 Serials

118 Mathematical Biosciences
92 Journal of Mathematical Analysis and Applications
85 Applied Mathematics and Computation
75 Chaos, Solitons and Fractals
69 Mathematical Biosciences and Engineering
68 Bulletin of Mathematical Biology
59 Advances in Difference Equations
56 Journal of Mathematical Biology
56 Journal of Theoretical Biology
49 Journal of Biological Dynamics
47 Journal of Differential Equations
41 Nonlinear Analysis. Real World Applications
38 International Journal of Biomathematics
32 Applied Mathematical Modelling
29 Mathematical and Computer Modelling
27 Computers & Mathematics with Applications
26 Communications in Nonlinear Science and Numerical Simulation
26 Journal of Biological Systems
23 Discrete and Continuous Dynamical Systems. Series B
22 Mathematics and Computers in Simulation
22 Proceedings of the American Mathematical Society
21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
20 Mathematical Methods in the Applied Sciences
20 Journal of Difference Equations and Applications
18 Journal of Computational and Applied Mathematics
17 Theoretical Population Biology
17 Abstract and Applied Analysis
16 Annali di Matematica Pura ed Applicata. Serie Quarta
16 Nonlinear Dynamics
14 Journal of Dynamics and Differential Equations
12 Applicable Analysis
12 Physica A
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Transactions of the American Mathematical Society
12 Journal of Applied Mathematics and Computing
12 Mathematical Modelling of Natural Phenomena
12 Nonlinear Analysis. Theory, Methods & Applications
11 International Journal of Control
11 Discrete Dynamics in Nature and Society
11 Journal of Applied Mathematics
10 Applied Mathematics Letters
10 Differential Equations and Dynamical Systems
9 Journal of Integral Equations and Applications
9 Computational and Applied Mathematics
9 Chaos
9 Computational & Mathematical Methods in Medicine
8 Journal of the Franklin Institute
8 Tohoku Mathematical Journal. Second Series
7 Ricerche di Matematica
7 Acta Applicandae Mathematicae
7 Physica D
7 Complexity
7 Discrete and Continuous Dynamical Systems. Series S
7 International Journal of Applied and Computational Mathematics
6 International Journal of Systems Science
6 Automatica
6 Applied Numerical Mathematics
6 Acta Mathematicae Applicatae Sinica. English Series
6 SIAM Journal on Applied Mathematics
6 Communications on Pure and Applied Analysis
5 Rocky Mountain Journal of Mathematics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Mathematical Systems Theory
5 Mathematische Zeitschrift
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 European Journal of Operational Research
5 Applied Mathematics. Series B (English Edition)
5 Discrete and Continuous Dynamical Systems
5 Mathematical Problems in Engineering
5 Qualitative Theory of Dynamical Systems
5 The ANZIAM Journal
5 SIAM Journal on Applied Dynamical Systems
5 Bulletin of the American Mathematical Society
4 Numerische Mathematik
4 Stochastic Analysis and Applications
4 Computational Mechanics
4 Journal of the Egyptian Mathematical Society
4 Mathematical Population Studies
4 Journal of Inequalities and Applications
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Afrika Matematika
4 Journal of Applied Analysis and Computation
4 AIMS Mathematics
3 Bulletin of the Australian Mathematical Society
3 Computer Methods in Applied Mechanics and Engineering
3 Nonlinearity
3 Czechoslovak Mathematical Journal
3 Glasgow Mathematical Journal
3 International Journal of Mathematics and Mathematical Sciences
3 Monatshefte für Mathematik
3 Linear Algebra and its Applications
3 SIAM Journal on Mathematical Analysis
3 Journal of Nonlinear Science
3 Electronic Journal of Differential Equations (EJDE)
3 Taiwanese Journal of Mathematics
3 Natural Resource Modeling
3 Nonlinear Analysis. Modelling and Control
3 Mathematical Modelling and Analysis
3 Dynamical Systems
3 Dynamic Games and Applications
...and 169 more Serials
all top 5

Cited in 46 Fields

1,440 Biology and other natural sciences (92-XX)
860 Ordinary differential equations (34-XX)
240 Dynamical systems and ergodic theory (37-XX)
207 Partial differential equations (35-XX)
175 Numerical analysis (65-XX)
139 Systems theory; control (93-XX)
114 Integral equations (45-XX)
99 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
96 Calculus of variations and optimal control; optimization (49-XX)
92 Probability theory and stochastic processes (60-XX)
89 Difference and functional equations (39-XX)
36 Statistics (62-XX)
34 Operator theory (47-XX)
25 Operations research, mathematical programming (90-XX)
19 Computer science (68-XX)
16 Combinatorics (05-XX)
16 Real functions (26-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 General and overarching topics; collections (00-XX)
10 Mechanics of particles and systems (70-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
7 Approximations and expansions (41-XX)
6 Fluid mechanics (76-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Mechanics of deformable solids (74-XX)
4 Special functions (33-XX)
4 Functional analysis (46-XX)
4 Information and communication theory, circuits (94-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
2 Measure and integration (28-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.