Edit Profile (opens in new tab) Brauer, Fred Co-Author Distance 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: 137 Publications since 1958, including 11 Books 2 Contributions as Editor Reviewing Activity: 70 Reviews Biographic References: 2 Publications Co-Authors: 47 Co-Authors with 58 Joint Publications 1,774 Co-Co-Authors all top 5 Co-Authors 81 single-authored 9 Soudack, A. C. 9 van den Driessche, Pauline 8 Castillo-Chavez, Carlos 6 Nohel, John A. 5 Watmough, James 5 Wu, Jianhong 4 Sanchez, David A. 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 The Canadian Applied Mathematics Quarterly 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 102 Biology and other natural sciences (92-XX) 52 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 112 Publications have been cited 2,929 times in 2,312 Documents Cited by ▼ Year ▼ Mathematical models in population biology and epidemiology. Zbl 0967.92015Brauer, Fred; Castillo-Chávez, Carlos 509 2001 Mathematical models in population biology and epidemiology. 2nd ed. Zbl 1302.92001Brauer, Fred; Castillo-Chavez, Carlos 337 2012 Mathematical epidemiology. Zbl 1159.92034 141 2008 Models for transmission of disease with immigration of infectives. Zbl 0995.92041Brauer, Fred; van den Driessche, P. 98 2001 Backward bifurcations in simple vaccination models. Zbl 1063.92037Brauer, Fred 90 2004 The qualitative theory of ordinary differential equations. An introduction. Zbl 0179.13202Brauer, Fred; Nohel, John A. 82 1969 Mathematical models in epidemiology. Zbl 1433.92001Brauer, Fred; Castillo-Chavez, Carlos; Feng, Zhilan 75 2019 Viral dynamics model with CTL immune response incorporating antiretroviral therapy. Zbl 1279.34059Wang, Yan; Zhou, Yicang; Brauer, Fred; Heffernan, Jane M. 72 2013 Compartmental models in epidemiology. Zbl 1206.92023Brauer, Fred 68 2008 Stability regions in predator-prey systems with constant-rate prey harvesting. Zbl 0406.92020Brauer, F.; Soudack, A. C. 66 1979 Dynamics of an age-of-infection cholera model. Zbl 1273.92050Brauer, Fred; Shuai, Zhisheng; van den Driessche, P. 63 2013 Perturbations of nonlinear systems of differential equations. Zbl 0156.09805Brauer, Fred 61 1966 Stability regions and transition phenomena for harvested predator-prey systems. Zbl 0397.92019Brauer, F.; Soudack, A. C. 59 1979 Coexistence properties of some predator-prey systems under constant rate harvesting and stocking. Zbl 0482.92015Brauer, F.; Soudack, A. C. 56 1981 A final size relation for epidemic models. Zbl 1123.92030Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 53 2007 A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 48 2008 A discrete epidemic model for SARS transmission and control in China. Zbl 1066.92046Zhou, Yicang; Ma, Zhien; Brauer, F. 46 2004 Models for the spread of universally fatal diseases. Zbl 0718.92021Brauer, F. 45 1990 Constant rate population harvesting: Equilibrium and stability. Zbl 0313.92012Brauer, Fred; Sanchez, David A. 40 1975 The Kermack–McKendrick epidemic model revisited. Zbl 1090.92042Brauer, Fred 37 2005 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. 31 1969 Epidemic models with heterogeneous mixing and treatment. Zbl 1147.92033Brauer, Fred 30 2008 Stability of stage-structured population models. Zbl 0634.92014Brauer, Fred; Zhien, Ma 26 1987 Constant-rate stocking of predator-prey systems. Zbl 0448.92020Brauer, F.; Soudack, A. C. 25 1981 Discrete epidemic models. Zbl 1184.92040Brauer, Fred; Feng, Zhilan; Castillo-Chavez, Carlos 25 2010 On asymptotic behavior of perturbed linear systems. Zbl 0201.11703Brauer, Fred; Wong, J. S. W. 25 1969 Perturbations of nonlinear systems of differential equations. III. Zbl 0206.37802Brauer, Fred; Strauss, Aaron 25 1970 Some simple epidemic models. Zbl 1089.92042Brauer, Fred 25 2006 On a nonlinear integral equation for population growth problems. Zbl 0276.92023Brauer, Fred 25 1975 Age-of-infection and the final size relation. Zbl 1166.92321Brauer, Fred 23 2008 Global analysis of discrete-time SI and SIS epidemic models. Zbl 1142.92038Li, Jianquan; Ma, Zhien; Brauer, Fred 22 2007 Nonlinear differential equations with forcing terms. Zbl 0126.30004Brauer, Fred 22 1964 Bounds for solutions of ordinary differential equations. Zbl 0113.06803Brauer, Fred 21 1963 Asymptotic stability of a class of integro-differential equations. Zbl 0385.34023Brauer, Fred 19 1978 Continuous-time age-structured models in population dynamics and epidemiology. Zbl 1206.92021Li, Jia; Brauer, Fred 19 2008 Periodic environments and periodic harvesting. Zbl 1067.92056Brauer, Fred; Sánchez, David A. 19 2003 Absolute stability in delay equations. Zbl 0636.34063Brauer, Fred 18 1987 Perturbations of nonlinear systems of differential equations. IV. Zbl 0195.10002Brauer, Fred 17 1972 Global behavior of solutions of ordinary differential equations. Zbl 0101.30305Brauer, Fred 17 1961 A nonlinear variation of constants formula for Volterra equations. Zbl 0241.45006Brauer, Fred 16 1972 Constant rate harvesting of populations governed by Volterra integral equations. Zbl 0332.92008Brauer, Fred 15 1976 Oscillations in a patchy environment disease model. Zbl 1176.34098Brauer, Fred; van den Driessche, P.; Wang, Lin 15 2008 Backward bifurcations in simple vaccination/treatment models. Zbl 1225.92029Brauer, Fred 14 2011 Stabilization and de-stabilization of predator-prey systems under harvesting and nutrient enrichment. Zbl 0317.92003Brauer, F.; Soudack, A. C.; Jarosch, H. S. 13 1976 A delay-dependent model with HIV drug resistance during therapy. Zbl 1308.92105Wang, Yan; Brauer, Fred; Wu, Jianhong; Heffernan, Jane M. 13 2014 Mathematical models for communicable diseases. Zbl 1353.92001Brauer, Fred; Castillo-Chavez, Carlos 13 2013 Asymptotic equivalence and asymptotic behaviour of linear systems. Zbl 0111.08603Brauer, Fred 13 1962 Epidemic models in populations of varying size. Zbl 0684.92016Brauer, Fred 12 1989 The final size of a serious epidemic. Zbl 1415.92172Brauer, Fred 12 2019 Stability of some population models with delay. Zbl 0362.92014Brauer, Fred 11 1977 Models for the spread of universally fatal diseases. II. Zbl 0737.92014Brauer, Fred 11 1991 Local uniqueness, existence in the large, and the convergence of successive approximations. Zbl 0082.06801Brauer, Fred; Sternberg, Shlomo 11 1958 Some directions for mathematical epidemiology. Zbl 1162.92319Brauer, Fred; van den Driessche, P. 10 2003 An introduction to networks in epidemic modeling. Zbl 1206.92024Brauer, Fred 10 2008 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 10 1996 Age of infection epidemic models with heterogeneous mixing. Zbl 1342.92228Brauer, Fred; Watmough, James 9 2009 Spectral theory for linear systems of differential equations. Zbl 0188.46302Brauer, Fred 9 1960 Calculation of \({\mathcal R}_0\) for age-of-infection models. Zbl 1158.92037Yang, Christine K.; Brauer, Fred 8 2008 Ordinary differential equations: A first course. Zbl 0162.10801Brauer, Fred; Nohel, John A. 8 1967 Can treatment increase the epidemic size? Zbl 1353.92106Xiao, Yanyu; Brauer, Fred; Moghadas, Seyed M. 8 2016 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 Nonlinear age-dependent population growth under harvesting. Zbl 0526.92018Brauer, Fred 7 1983 Some results on uniqueness and successive approximations. Zbl 0142.34305Brauer, Fred 7 1959 A new epidemic model with indirect transmission. Zbl 1447.92400Brauer, Fred 7 2017 Age of infection in epidemiology models. Zbl 1081.92034Brauer, Fred 7 2005 Perturbations of the nonlinear renewal equation. Zbl 0341.45030Brauer, Fred 6 1976 Spectral theory for the differential equation \(Lu =\lambda Mu\). Zbl 0141.27901Brauer, Fred 6 1958 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 6 2020 Early estimates of epidemic final sizes. Zbl 1447.92399Brauer, Fred 6 2019 Some infectious disease models with population dynamics and general contact rates. Zbl 0722.92014Brauer, Fred 6 1990 The basic reproduction number of infectious diseases: computation and estimation using compartmental epidemic models. Zbl 1345.92136Chowell, Gerardo; Brauer, Fred 5 2009 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 Constant-rate harvesting of age-structured populations. Zbl 0548.92011Brauer, Fred 5 1983 Singular self-adjoint boundary value problems for the differential equation \(Lx =\lambda Mx\). Zbl 0141.27802Brauer, Fred 5 1958 Some refinements of Lyapunov’s second method. Zbl 0173.10601Brauer, Fred 5 1965 A class of Volterra integral equations arising in delayed-recruitment population models. Zbl 0850.92072Brauer, Fred 5 1987 Dynamical systems for biological modeling. An introduction. Zbl 1336.92001Brauer, Fred; Kribs, Christopher 4 2016 Basic ideas of mathematical epidemiology. Zbl 1036.92027Brauer, Fred 4 2002 De-stabilization of predator-prey systems under enrichment. Zbl 0319.92012Brauer, Fred 4 1976 Errata to our paper ’Local uniqueness etc.’ (this journal, vol 80, pp. 421-430). Zbl 0114.28603Brauer, Fred; Sternberg, Shlomo 4 1959 Models for diseases with vertical transmission and nonlinear population dynamics. Zbl 0832.92018Brauer, Fred 4 1995 A note on uniqueness and convergence of successive approximations. Zbl 0084.07801Brauer, Fred 4 1959 Ordinary differential equations: A first course. 2nd ed. Zbl 0274.34002Brauer, Fred; Nohel, John A. 4 1973 Response of predator-prey systems to nutrient enrichment and proportional harvesting. Zbl 0367.92011Brauer, F.; Soudack, A. C. 3 1978 Optimal harvesting in predator-prey systems. Zbl 0554.92017Brauer, Fred; Soudack, A. C. 3 1985 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 Age of infection epidemic models. Zbl 1347.92079Brauer, Fred 2 2016 Some simple nosocomial disease transmission models. Zbl 1345.92135Brauer, Fred 2 2015 Modeling influenza: Pandemics and seasonal epidemics. Zbl 1206.92015Brauer, Fred 2 2008 Nonlinear perturbations of Sturm-Liouville boundary value problems. Zbl 0162.11702Brauer, Fred 2 1968 Variable infectivity in communicable disease models. Zbl 0843.92019Brauer, Fred 2 1996 What goes up must come down, eventually. Zbl 1108.70300Brauer, Fred 2 2001 Estimates of tuberculosis progression rate of children in China. Zbl 1447.92404Cao, Hui; Zhou, Yicang; Brauer, Fred 2 2012 Drug resistance in an age-of-infection model. Zbl 1409.92229Brauer, Fred; Xiao, Yanyu; Moghadas, Seyed M. 2 2017 Harvesting in population models with delayed recruitment and age-dependent mortality. Zbl 0850.92065Brauer, Fred; Rollins, David; Soudack, A. C. 2 1988 General compartmental epidemic models. Zbl 1201.92056Brauer, Fred 1 2010 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 6 2020 Mathematical models in epidemiology. Zbl 1433.92001Brauer, Fred; Castillo-Chavez, Carlos; Feng, Zhilan 75 2019 The final size of a serious epidemic. Zbl 1415.92172Brauer, Fred 12 2019 Early estimates of epidemic final sizes. Zbl 1447.92399Brauer, Fred 6 2019 A new epidemic model with indirect transmission. Zbl 1447.92400Brauer, Fred 7 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 4 2016 Age of infection epidemic models. Zbl 1347.92079Brauer, Fred 2 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 Viral dynamics model with CTL immune response incorporating antiretroviral therapy. Zbl 1279.34059Wang, Yan; Zhou, Yicang; Brauer, Fred; Heffernan, Jane M. 72 2013 Dynamics of an age-of-infection cholera model. Zbl 1273.92050Brauer, Fred; Shuai, Zhisheng; van den Driessche, P. 63 2013 Mathematical models for communicable diseases. Zbl 1353.92001Brauer, Fred; Castillo-Chavez, Carlos 13 2013 Epidemic progression on networks based on disease generation time. Zbl 1447.92413Davoudi, Bahman; Moser, Flavia; Brauer, Fred; Pourbohloul, Babak 1 2013 Mathematical models in population biology and epidemiology. 2nd ed. Zbl 1302.92001Brauer, Fred; Castillo-Chavez, Carlos 337 2012 Estimates of tuberculosis progression rate of children in China. Zbl 1447.92404Cao, Hui; Zhou, Yicang; Brauer, Fred 2 2012 Heterogeneous mixing in epidemic models. Zbl 1496.92105Brauer, Fred 1 2012 Backward bifurcations in simple vaccination/treatment models. Zbl 1225.92029Brauer, Fred 14 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 25 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 9 2009 The basic reproduction number of infectious diseases: computation and estimation using compartmental epidemic models. Zbl 1345.92136Chowell, Gerardo; Brauer, Fred 5 2009 Mathematical epidemiology. Zbl 1159.92034 141 2008 Compartmental models in epidemiology. Zbl 1206.92023Brauer, Fred 68 2008 A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 48 2008 Epidemic models with heterogeneous mixing and treatment. Zbl 1147.92033Brauer, Fred 30 2008 Age-of-infection and the final size relation. Zbl 1166.92321Brauer, Fred 23 2008 Continuous-time age-structured models in population dynamics and epidemiology. Zbl 1206.92021Li, Jia; Brauer, Fred 19 2008 Oscillations in a patchy environment disease model. Zbl 1176.34098Brauer, Fred; van den Driessche, P.; Wang, Lin 15 2008 An introduction to networks in epidemic modeling. Zbl 1206.92024Brauer, Fred 10 2008 Calculation of \({\mathcal R}_0\) for age-of-infection models. Zbl 1158.92037Yang, Christine K.; Brauer, Fred 8 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 53 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 25 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 37 2005 Age of infection in epidemiology models. Zbl 1081.92034Brauer, Fred 7 2005 Backward bifurcations in simple vaccination models. Zbl 1063.92037Brauer, Fred 90 2004 A discrete epidemic model for SARS transmission and control in China. Zbl 1066.92046Zhou, Yicang; Ma, Zhien; Brauer, F. 46 2004 Periodic environments and periodic harvesting. Zbl 1067.92056Brauer, Fred; Sánchez, David A. 19 2003 Some directions for mathematical epidemiology. Zbl 1162.92319Brauer, Fred; van den Driessche, P. 10 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 509 2001 Models for transmission of disease with immigration of infectives. Zbl 0995.92041Brauer, Fred; van den Driessche, P. 98 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 10 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 4 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. 45 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 12 1989 Harvesting in population models with delayed recruitment and age-dependent mortality. Zbl 0850.92065Brauer, Fred; Rollins, David; Soudack, A. C. 2 1988 Stability of stage-structured population models. Zbl 0634.92014Brauer, Fred; Zhien, Ma 26 1987 Absolute stability in delay equations. Zbl 0636.34063Brauer, Fred 18 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 7 1983 Constant-rate harvesting of age-structured populations. Zbl 0548.92011Brauer, Fred 5 1983 Coexistence properties of some predator-prey systems under constant rate harvesting and stocking. Zbl 0482.92015Brauer, F.; Soudack, A. C. 56 1981 Constant-rate stocking of predator-prey systems. Zbl 0448.92020Brauer, F.; Soudack, A. C. 25 1981 Stability regions in predator-prey systems with constant-rate prey harvesting. Zbl 0406.92020Brauer, F.; Soudack, A. C. 66 1979 Stability regions and transition phenomena for harvested predator-prey systems. Zbl 0397.92019Brauer, F.; Soudack, A. C. 59 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 19 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 11 1977 Constant rate harvesting of populations governed by Volterra integral equations. Zbl 0332.92008Brauer, Fred 15 1976 Stabilization and de-stabilization of predator-prey systems under harvesting and nutrient enrichment. Zbl 0317.92003Brauer, F.; Soudack, A. C.; Jarosch, H. S. 13 1976 Perturbations of the nonlinear renewal equation. Zbl 0341.45030Brauer, Fred 6 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. 40 1975 On a nonlinear integral equation for population growth problems. Zbl 0276.92023Brauer, Fred 25 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 17 1972 A nonlinear variation of constants formula for Volterra equations. Zbl 0241.45006Brauer, Fred 16 1972 Perturbations of nonlinear systems of differential equations. III. Zbl 0206.37802Brauer, Fred; Strauss, Aaron 25 1970 The qualitative theory of ordinary differential equations. An introduction. Zbl 0179.13202Brauer, Fred; Nohel, John A. 82 1969 On the asymptotic relationships between solutions of two systems of ordinary differential equations. Zbl 0185.16601Brauer, Fred; Wong, J. S. W. 31 1969 On asymptotic behavior of perturbed linear systems. Zbl 0201.11703Brauer, Fred; Wong, J. S. W. 25 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. 8 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 61 1966 Some refinements of Lyapunov’s second method. Zbl 0173.10601Brauer, Fred 5 1965 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,680 Authors 42 Brauer, Fred 32 Teng, Zhi-dong 25 Castillo-Chavez, Carlos 22 van den Driessche, Pauline 22 Wu, Jianhong 18 Jin, Zhen 16 Sugie, Jitsuro 15 Chowell, Gerardo 15 Wang, Wendi 14 González-Parra, Gilberto C. 14 Gumel, Abba B. 14 Ruan, Shigui 14 Wang, Yan 14 Xu, Rui 13 Cai, Yongli 13 Kar, Tapan Kumar 13 Martcheva, Maia 13 Wang, Weiming 12 Arenas, Abraham J. 12 Feng, Zhilan 12 Qiu, Zhipeng 12 Samanta, Guru Prasad 11 Braverman, Elena 11 Buonomo, Bruno 11 Jiang, Daqing 11 Liu, Shengqiang 11 Miao, Hui 11 Villanueva, Rafael-Jacinto 11 Wang, Jinliang 11 Xiao, Yanni 11 Zhang, Tailei 10 Chen, Lansun 10 Cui, Jingan 10 Din, Qamar 10 Li, Jianquan 10 Lou, Yijun 10 Tripathi, Jai Prakash 9 Allen, Linda J. S. 9 Banerjee, Malay 9 Berezansky, Leonid M. 9 Chen, Yuming 9 Hallam, Thomas G. 9 Lakshmikantham, Vangipuram 9 Ma, Zhien 9 Wang, Lin 9 Wang, Zhi Cheng 9 Yakubu, Abdul-Aziz 9 Zhu, Huaiping 8 Banks, Stephen Paul 8 Cortés López, Juan Carlos 8 Gopalsamy, Kondalsamy 8 Kang, Yun 8 Li, Xuezhi 8 Magal, Pierre 8 Moghadas, Seyed M. 8 Mukandavire, Zindoga 8 Proctor, T. G. 8 Rong, Libin 8 Röst, Gergely 8 Song, Xinyu 8 Soudack, A. C. 8 Srivastava, Prashant Kr. 8 Xiao, Dongmei 7 Bowong, Samuel 7 Cao, Jinde 7 Dubey, Balram 7 Guo, Shangjiang 7 Heffernan, Jane Marie 7 Ma, Junling 7 Meng, Xinzhu 7 Safan, Muntaser 7 Valverde, Jose C. 7 Webb, Glenn Francis 6 Agusto, Folashade B. 6 Burton, Theodore Allen 6 Cai, Liming 6 Cao, Hui 6 Chaplain, Mark A. J. 6 Cui, Renhao 6 Hilker, Frank M. 6 Hoang, Manh Tuan 6 Idels, Lev V. 6 Kojouharov, Hristo V. 6 Kumar Upadhyay, Ranjit 6 Kumar, Anuj 6 Kuniya, Toshikazu 6 Kwon, Hee-Dae 6 Lee, Jeehyun 6 Liu, Kaihui 6 Mushayabasa, Steady 6 Pinto, Manuel 6 Ramos, Angel Manuel 6 Rao, M. Rama Mohana 6 Sharomi, Oluwaseun Y. 6 Sun, Chengjun 6 Takeuchi, Yasuhiro 6 Tripathi, Agraj 6 Venturino, Ezio 6 Wang, Kai 6 Wei, Junjie ...and 3,580 more Authors all top 5 Cited in 333 Serials 126 Mathematical Biosciences 99 Journal of Mathematical Analysis and Applications 95 Mathematical Biosciences and Engineering 94 Applied Mathematics and Computation 80 Bulletin of Mathematical Biology 78 Journal of Mathematical Biology 68 Chaos, Solitons and Fractals 65 Advances in Difference Equations 64 Journal of Theoretical Biology 56 Journal of Biological Dynamics 52 Journal of Differential Equations 48 International Journal of Biomathematics 47 Nonlinear Analysis. Real World Applications 40 Physica A 38 Applied Mathematical Modelling 34 Communications in Nonlinear Science and Numerical Simulation 30 Mathematics and Computers in Simulation 29 Mathematical and Computer Modelling 29 Journal of Biological Systems 28 Computers & Mathematics with Applications 28 Discrete and Continuous Dynamical Systems. Series B 24 Journal of Computational and Applied Mathematics 23 Proceedings of the American Mathematical Society 22 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22 Journal of Difference Equations and Applications 21 Mathematical Methods in the Applied Sciences 21 Nonlinear Dynamics 19 Theoretical Population Biology 17 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Abstract and Applied Analysis 17 Journal of Applied Mathematics and Computing 15 Applicable Analysis 15 Journal of Dynamics and Differential Equations 15 Journal of Applied Mathematics 14 Applied Mathematics Letters 14 Computational and Applied Mathematics 14 Mathematical Modelling of Natural Phenomena 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Nonlinear Analysis. Theory, Methods & Applications 12 Transactions of the American Mathematical Society 12 Discrete Dynamics in Nature and Society 11 International Journal of Control 10 Journal of Integral Equations and Applications 10 Differential Equations and Dynamical Systems 10 Computational & Mathematical Methods in Medicine 9 Complexity 9 Chaos 8 Journal of the Franklin Institute 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Automatica 8 Tôhoku Mathematical Journal. Second Series 8 Physica D 8 European Journal of Operational Research 8 SIAM Journal on Applied Mathematics 8 Qualitative Theory of Dynamical Systems 8 Discrete and Continuous Dynamical Systems. Series S 8 International Journal of Applied and Computational Mathematics 7 Ricerche di Matematica 7 Acta Applicandae Mathematicae 7 Applied Numerical Mathematics 7 Communications on Pure and Applied Analysis 6 International Journal of Systems Science 6 Acta Mathematicae Applicatae Sinica. English Series 6 Applied Mathematics. Series B (English Edition) 6 SIAM Journal on Applied Dynamical Systems 5 Rocky Mountain Journal of Mathematics 5 Mathematical Systems Theory 5 Mathematische Zeitschrift 5 Numerische Mathematik 5 Stochastic Analysis and Applications 5 European Journal of Applied Mathematics 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal of the Egyptian Mathematical Society 5 Fractals 5 Discrete and Continuous Dynamical Systems 5 Mathematical Problems in Engineering 5 Mathematical Population Studies 5 The ANZIAM Journal 5 Nonlinear Analysis. Modelling and Control 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Bulletin of the American Mathematical Society 5 AIMS Mathematics 5 Mathematics in Applied Sciences and Engineering 4 Computational Mechanics 4 International Journal of Computer Mathematics 4 Linear Algebra and its Applications 4 Journal of Nonlinear Science 4 Electronic Journal of Differential Equations (EJDE) 4 Taiwanese Journal of Mathematics 4 Journal of Inequalities and Applications 4 Revista de Matemática: Teoría y Aplicaciones 4 Mathematical Modelling and Analysis 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 4 Journal of Physics A: Mathematical and Theoretical 4 Afrika Matematika 4 Journal of Applied Analysis and Computation 4 Journal of Applied Nonlinear Dynamics 4 Computational and Mathematical Biophysics 3 Bulletin of the Australian Mathematical Society 3 Computer Methods in Applied Mechanics and Engineering ...and 233 more Serials all top 5 Cited in 48 Fields 1,769 Biology and other natural sciences (92-XX) 1,010 Ordinary differential equations (34-XX) 289 Dynamical systems and ergodic theory (37-XX) 266 Partial differential equations (35-XX) 194 Numerical analysis (65-XX) 150 Systems theory; control (93-XX) 136 Probability theory and stochastic processes (60-XX) 132 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 131 Integral equations (45-XX) 118 Calculus of variations and optimal control; optimization (49-XX) 105 Difference and functional equations (39-XX) 54 Statistics (62-XX) 36 Operator theory (47-XX) 32 Statistical mechanics, structure of matter (82-XX) 30 Operations research, mathematical programming (90-XX) 28 Real functions (26-XX) 23 Combinatorics (05-XX) 23 Computer science (68-XX) 11 Mechanics of particles and systems (70-XX) 9 General and overarching topics; collections (00-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Approximations and expansions (41-XX) 7 Fluid mechanics (76-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 3 Integral transforms, operational calculus (44-XX) 3 Information and communication theory, circuits (94-XX) 3 Mathematics education (97-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Quantum theory (81-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. 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