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