Edit Profile (opens in new tab) Gard, Thomas C. Compute Distance To: Compute Author ID: gard.thomas-c Published as: Gard, Thomas C.; Gard, T. C.; Gard, T. Documents Indexed: 38 Publications since 1976, including 1 Book Reviewing Activity: 95 Reviews Co-Authors: 8 Co-Authors with 15 Joint Publications 154 Co-Co-Authors all top 5 Co-Authors 23 single-authored 10 Cao, Yulin 3 Fan, Jiangping 2 Hallam, Thomas G. 1 Freedman, Herbert Irving 1 Hoffacker, Joan 1 Kannan, Devika 1 Ragsdale, Katherine B. 1 Svoboda, Linda J. all top 5 Serials 5 Mathematical Biosciences 3 Bulletin of Mathematical Biology 3 Electronic Journal of Differential Equations (EJDE) 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 Rocky Mountain Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Applied Probability 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Differential and Integral Equations 1 Dynamic Systems and Applications 1 Stochastic Processes and their Applications 1 Stochastics and Stochastics Reports 1 Journal of Dynamics and Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Pure and Applied Mathematics, Marcel Dekker all top 5 Fields 29 Biology and other natural sciences (92-XX) 19 Ordinary differential equations (34-XX) 15 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 867 times in 659 Documents Cited by ▼ Year ▼ Introduction to stochastic differential equations. Zbl 0628.60064Gard, Thomas C. 224 1988 Persistence in stochastic food web models. Zbl 0533.92028Gard, Thomas C. 122 1984 Stability for multispecies population models in random environments. Zbl 0598.92017Gard, Thomas C. 84 1986 Relative persistence for stochastic population models: Finite sample boundedness. Zbl 0682.92018Gard, T. C. 82 1988 Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017Gard, Thomas C.; Hallam, Thomas G. 72 1979 The effects of state-dependent time delay on a stage-structured population growth model. Zbl 0777.92014Cao, Yulin; Fan, Jiangping; Gard, Thomas C. 53 1992 Persistence in food chains with general interactions. Zbl 0453.92017Gard, Thomas C. 34 1980 Persistence and extinction in three species Lotka-Volterra competitive systems. Zbl 0413.92013Hallam, Thomas G.; Svoboda, Linda J.; Gard, Thomas C. 28 1979 Uniform persistence in multispecies population models. Zbl 0631.92012Gard, Thomas C. 20 1987 Asymptotic behavior of natural growth on time scales. Zbl 1049.39022Gard, T.; Hoffacker, J. 19 2003 Persistence in food webs: Holling-type food chains. Zbl 0438.92019Gard, Thomas C. 19 1980 Stochastic models for toxicant-stressed populations. Zbl 0762.92020Gard, Thomas C. 16 1992 On a stochastic differential equation modeling of prey-predator evolution. Zbl 0352.92013Gard, T. C.; Kannan, D. 15 1976 Top predator persistence in differential equation models of food chains: The effects of omnivory and external forcing of lower trophic levels. Zbl 0494.92022Gard, Thomas C. 13 1982 Uniform persistence for population models with time delay using multiple Lyapunov functions. Zbl 0780.92019Cao, Yulin; Gard, Thomas C. 11 1993 Ultimate bounds and global asymptotic stability for differential delay equations. Zbl 0829.34066Cao, Yulin; Gard, Thomas C. 8 1995 Uniform persistence for population interaction models with time delay. Zbl 0822.92014Cao, Yulin; Fan, Jiang-Ping; Gard, Thomas C. 7 1993 Persistence in food webs. Zbl 0534.92025Gard, T. C. 7 1984 A new Liapunov function for the simple chemostat. Zbl 1007.92034Gard, Thomas C. 7 2002 A general uniqueness theorem for solutions of stochastic differential equations. Zbl 0332.60037Gard, Thomas C. 5 1976 Extinction in predator-prey models with time delay. Zbl 0806.92015Cao, Yulin; Gard, Thomas C. 5 1993 Strongly flow-invariant sets. Zbl 0438.34039Gard, Thomas C. 4 1980 Stochastic population models on a bounded domain: Exit probabilities and persistence. Zbl 0723.92017Gard, Thomas C. 3 1990 A generalization of the Nagumo uniqueness criterion. Zbl 0389.34003Gard, Thomas C. 3 1978 Pathwise uniqueness for solutions of systems of stochastic differential equations. Zbl 0373.60069Gard, Thomas C. 1 1978 Population interaction models with continuous time delays. Zbl 0812.34068Cao, Yulin; Gard, Thomas C. 1 1994 Asymptotic and transient analysis of stochastic core ecosystem models. Zbl 1056.92524Gard, Thomas C. 1 1999 Transient effects of stochastic multi-population models. Zbl 0991.92022Gard, Thomas C. 1 2000 Mathematical analysis of some resource-prey-predator models: Application to a NPZ microcosm model. Zbl 0522.92022Gard, Thomas C. 1 1983 Practical persistence for differential delay models of population interactions. Zbl 0913.34064Cao, Yulin; Gard, Thomas C. 1 1997 Asymptotic behavior of natural growth on time scales. Zbl 1049.39022Gard, T.; Hoffacker, J. 19 2003 A new Liapunov function for the simple chemostat. Zbl 1007.92034Gard, Thomas C. 7 2002 Transient effects of stochastic multi-population models. Zbl 0991.92022Gard, Thomas C. 1 2000 Asymptotic and transient analysis of stochastic core ecosystem models. Zbl 1056.92524Gard, Thomas C. 1 1999 Practical persistence for differential delay models of population interactions. Zbl 0913.34064Cao, Yulin; Gard, Thomas C. 1 1997 Ultimate bounds and global asymptotic stability for differential delay equations. Zbl 0829.34066Cao, Yulin; Gard, Thomas C. 8 1995 Population interaction models with continuous time delays. Zbl 0812.34068Cao, Yulin; Gard, Thomas C. 1 1994 Uniform persistence for population models with time delay using multiple Lyapunov functions. Zbl 0780.92019Cao, Yulin; Gard, Thomas C. 11 1993 Uniform persistence for population interaction models with time delay. Zbl 0822.92014Cao, Yulin; Fan, Jiang-Ping; Gard, Thomas C. 7 1993 Extinction in predator-prey models with time delay. Zbl 0806.92015Cao, Yulin; Gard, Thomas C. 5 1993 The effects of state-dependent time delay on a stage-structured population growth model. Zbl 0777.92014Cao, Yulin; Fan, Jiangping; Gard, Thomas C. 53 1992 Stochastic models for toxicant-stressed populations. Zbl 0762.92020Gard, Thomas C. 16 1992 Stochastic population models on a bounded domain: Exit probabilities and persistence. Zbl 0723.92017Gard, Thomas C. 3 1990 Introduction to stochastic differential equations. Zbl 0628.60064Gard, Thomas C. 224 1988 Relative persistence for stochastic population models: Finite sample boundedness. Zbl 0682.92018Gard, T. C. 82 1988 Uniform persistence in multispecies population models. Zbl 0631.92012Gard, Thomas C. 20 1987 Stability for multispecies population models in random environments. Zbl 0598.92017Gard, Thomas C. 84 1986 Persistence in stochastic food web models. Zbl 0533.92028Gard, Thomas C. 122 1984 Persistence in food webs. Zbl 0534.92025Gard, T. C. 7 1984 Mathematical analysis of some resource-prey-predator models: Application to a NPZ microcosm model. Zbl 0522.92022Gard, Thomas C. 1 1983 Top predator persistence in differential equation models of food chains: The effects of omnivory and external forcing of lower trophic levels. Zbl 0494.92022Gard, Thomas C. 13 1982 Persistence in food chains with general interactions. Zbl 0453.92017Gard, Thomas C. 34 1980 Persistence in food webs: Holling-type food chains. Zbl 0438.92019Gard, Thomas C. 19 1980 Strongly flow-invariant sets. Zbl 0438.34039Gard, Thomas C. 4 1980 Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017Gard, Thomas C.; Hallam, Thomas G. 72 1979 Persistence and extinction in three species Lotka-Volterra competitive systems. Zbl 0413.92013Hallam, Thomas G.; Svoboda, Linda J.; Gard, Thomas C. 28 1979 A generalization of the Nagumo uniqueness criterion. Zbl 0389.34003Gard, Thomas C. 3 1978 Pathwise uniqueness for solutions of systems of stochastic differential equations. Zbl 0373.60069Gard, Thomas C. 1 1978 On a stochastic differential equation modeling of prey-predator evolution. Zbl 0352.92013Gard, T. C.; Kannan, D. 15 1976 A general uniqueness theorem for solutions of stochastic differential equations. Zbl 0332.60037Gard, Thomas C. 5 1976 all cited Publications top 5 cited Publications all top 5 Cited by 835 Authors 42 Jiang, Daqing 38 Wang, Ke 30 Liu, Meng 17 Liu, Qun 15 Gard, Thomas C. 15 Zou, Xiaoling 12 Allen, Edward James 12 Chen, Lansun 11 Mao, Xuerong 10 Benchohra, Mouffak 10 Freedman, Herbert Irving 10 Hening, Alexandru 9 Schurz, Henri 8 Hayat, Tasawar 8 Teng, Zhi-dong 7 Ji, Chunyan 7 Nguyen, Dang Hai 7 O’Regan, Donal 7 Samanta, Guru Prasad 6 Allen, Linda J. S. 6 Burrage, Kevin 6 Burrage, Pamela M. 6 Cortés López, Juan Carlos 6 Davis, John M. 6 Ding, Xiaohua 6 Liu, Xinzhi 6 Lu, Chun 6 Shi, Ningzhong 6 Song, Xinyu 6 Wang, Weiming 5 Al-saedi, Ahmed Eid Salem 5 Chen, Qingmei 5 Cui, Jingan 5 Gopalsamy, Kondalsamy 5 Li, Xiaoyue 5 Lv, Jingliang 5 Mukherjee, Debasis 5 Roselló, María Dolores 5 Roy, Amiya Bhusan 5 Waltman, Paul Elvis 5 Zhang, Xinhong 5 Zu, Li 4 Abukhaled, Marwan I. 4 Ahmad, Shair 4 Alwan, Mohamad S. 4 Arciniega, Armando 4 Bai, Chuanzhi 4 Banerjee, Malay 4 Cao, Yulin 4 Chen, Chiun-Chuan 4 Chen, Fengde 4 Cuevas, Claudio 4 D’Ambrosio, Raffaele 4 Das, Harekrishna 4 Fan, Zhencheng 4 Gravagne, Ian A. 4 Hallam, Thomas G. 4 Hung, Li-Chang 4 Li, Wenxue 4 Medjadj, Imene 4 Meng, Xinzhu 4 Nguyen Huu Du 4 Nkurunziza, Sévérien 4 Rao, Feng 4 Romero, José Vicente 4 Shaikh, Absos Ali 4 Unal, Gazanfer 4 Wu, Fuke 4 Yin, George Gang 4 Yuan, Sanling 4 Zanolin, Fabio 4 Zhang, Tonghua 3 Al-Omari, Jafar Fawzi M. 3 Azemi, Asad 3 Balachandran, Krishnan 3 Balasubramaniam, Pagavathigounder 3 Blouhi, Tayeb 3 Butler, Geoffrey J. 3 Cai, Yongli 3 Chaudhary, Renu 3 Chen, Yuming 3 Cong, Fuzhong 3 Dai, Chuanjun 3 Dos Santos, José Paulo Carvalho 3 Du, Bo 3 Fan, Dejun 3 Fernandes, M. Lourdes C. 3 Fu, Shengmao 3 Gao, Shujing 3 Gao, Yongxin 3 Gapeev, Pavel V. 3 Han, Qixing 3 Hu, Guixin 3 Hu, Hongxiao 3 Huang, Zaitang 3 Jackson, Billy J. 3 Jumarie, Guy M. 3 Komori, Yoshio 3 Li, Haihong 3 Liao, Tiancai ...and 735 more Authors all top 5 Cited in 161 Serials 55 Applied Mathematics and Computation 37 Journal of Mathematical Analysis and Applications 29 Mathematical Biosciences 28 Stochastic Analysis and Applications 23 Journal of Mathematical Biology 21 Advances in Difference Equations 19 Abstract and Applied Analysis 14 Journal of Computational and Applied Mathematics 13 Journal of the Franklin Institute 13 Bulletin of Mathematical Biology 13 Applied Mathematics Letters 13 International Journal of Biomathematics 11 Computers & Mathematics with Applications 11 Applied Mathematical Modelling 11 Nonlinear Analysis. Real World Applications 11 Journal of Applied Mathematics and Computing 10 Journal of Differential Equations 10 Mathematical and Computer Modelling 10 Discrete and Continuous Dynamical Systems. Series B 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Differential Equations and Dynamical Systems 8 Nonlinear Dynamics 8 Discrete Dynamics in Nature and Society 8 Communications in Nonlinear Science and Numerical Simulation 7 Mathematical Methods in the Applied Sciences 7 Rocky Mountain Journal of Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications 6 Chaos, Solitons and Fractals 6 Journal of Nonlinear Science 6 Nonlinear Analysis. Hybrid Systems 6 Journal of Theoretical Biology 5 Automatica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Nonlinear Science and Applications 4 Applicable Analysis 4 International Journal of Systems Science 4 Physica A 4 Mathematics and Computers in Simulation 4 Proceedings of the American Mathematical Society 4 Statistics & Probability Letters 4 Physica D 4 Applied Numerical Mathematics 4 Journal of Applied Mathematics 4 Journal of Applied Analysis and Computation 3 BIT 3 Journal of Optimization Theory and Applications 3 Systems & Control Letters 3 Stochastic Processes and their Applications 3 Journal of Dynamics and Differential Equations 3 Journal of Mathematical Chemistry 3 Mathematical Problems in Engineering 3 Journal of Biological Systems 3 Journal of Nonlinear Mathematical Physics 3 Journal of Biological Dynamics 3 International Journal of Applied and Computational Mathematics 2 International Journal of Control 2 Journal of Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annals of the Institute of Statistical Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Journal of Mathematical Psychology 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Theoretical Population Biology 2 Acta Applicandae Mathematicae 2 Stochastic Hydrology and Hydraulics 2 Japan Journal of Industrial and Applied Mathematics 2 The Annals of Applied Probability 2 Numerical Algorithms 2 Filomat 2 Complexity 2 Engineering Analysis with Boundary Elements 2 Methodology and Computing in Applied Probability 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Mathematical Biosciences and Engineering 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 1 International Journal of Modern Physics A 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physics Letters. A 1 Transport Theory and Statistical Physics 1 Ukrainian Mathematical Journal 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 1 Hiroshima Mathematical Journal 1 International Journal of Circuit Theory and Applications 1 Journal of Applied Probability 1 Journal of Statistical Planning and Inference 1 Kyungpook Mathematical Journal 1 Mathematica Slovaca 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Quarterly of Applied Mathematics ...and 61 more Serials all top 5 Cited in 28 Fields 390 Biology and other natural sciences (92-XX) 317 Ordinary differential equations (34-XX) 279 Probability theory and stochastic processes (60-XX) 85 Numerical analysis (65-XX) 79 Dynamical systems and ergodic theory (37-XX) 69 Systems theory; control (93-XX) 44 Partial differential equations (35-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Operator theory (47-XX) 17 Statistics (62-XX) 13 Integral equations (45-XX) 12 Difference and functional equations (39-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Information and communication theory, circuits (94-XX) 5 Real functions (26-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 5 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of deformable solids (74-XX) 1 Nonassociative rings and algebras (17-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year