## Brauer, Fred

Compute Distance To:
 Author ID: 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
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### Co-Authors

 80 single-authored 9 Soudack, A. C. 8 Castillo-Chavez, Carlos 8 van den Driessche, Pauline 6 Nohel, John A. 5 Wu, Jianhong 4 Sanchez, David A. 4 Watmough, James 4 Zhou, Yicang 3 Arino, Julien 3 Moghadas, Seyed M. 2 Feng, Zhilan 2 Heffernan, Jane Marie 2 Li, Jia 2 Ma, Zhien 2 Sternberg, Shlomo 2 Velasco-Hernandez, Jorge X. 2 Wang, Yan 2 Wong, James S. W. 2 Xiao, Yanyu 1 Bauch, Chris T. 1 Braverman, Elena 1 Cao, Hui 1 Chowell, Gerardo 1 David, Jummy Funke 1 Davoudi, Bahman 1 Driedger, S. Michelle 1 Greer, Amy L. 1 Hallam, Thomas G. 1 Hao, Dunyuan 1 Iyaniwura, Sarafa A. 1 Jarosch, H. S. 1 Kribs, Christopher M. 1 Li, Jianquan 1 Moser, Flavia 1 Pizzi, Nick J. 1 Pourbohloul, Babak 1 Rollins, David K. 1 Sander, Beate 1 Schneider, Hans 1 Shuai, Zhisheng 1 Strauss, Aaron 1 Tuite, Ashleigh 1 Wang, Lin 1 Ward, Michael J. 1 Yan, Ping 1 Yang, Christine K. 1 Zhien, Ma
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### 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)
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### Fields

 100 Biology and other natural sciences (92-XX) 51 Ordinary differential equations (34-XX) 20 Integral equations (45-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Systems theory; control (93-XX) 6 Difference and functional equations (39-XX) 6 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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

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