Edit Profile (opens in new tab) Wollkind, David J. Co-Author Distance Author ID: wollkind.david-j Published as: Wollkind, David J.; Wollkind, D. J.; Wollkind, David more...less Documents Indexed: 43 Publications since 1970, including 2 Books 1 Further Contribution Co-Authors: 36 Co-Authors with 41 Joint Publications 364 Co-Co-Authors all top 5 Co-Authors 3 single-authored 5 Collings, John B. 4 Dichone, Bonni J. 4 Logan, Jesse A. 4 Stephenson, Laura E. 4 Zhang, Limin 3 Hastings, Alan Matthew 3 Lenbury, Yongwimon 2 Alexander, J. Iwan D. 2 Alvarado, F. J. 2 Cangelosi, Richard A. 2 Kealy-Dichone, Bonni J. 2 Maurer, Robert N. 2 Notestine, Ronald D. 2 Rattanakul, Chontita 2 Tian, Emily M. 2 Wang, Shingmin 1 Barba, M. C. B. 1 Boonkorkuea, N. 1 Chaiya, Inthira 1 Chatsudthipong, V. 1 Choudhury, Sudipto Roy 1 Davis, Mitchell G. 1 Debnath, Lokenath 1 Edmeade, D. E. 1 Ferm, E. N. 1 Frisch, Harry L. 1 Gibbon, John D. 1 Gill, Kohl 1 Grimshaw, Roger Hamilton James 1 Kealy, Bonni J. 1 Kolden, Stephanie 1 Manoranjan, Valipuram S. 1 Margarella, L. 1 Moody, Michael E. 1 Oulton, David B. 1 Pansuwan, Adoon 1 Pelinovsky, Dmitry Efimovich 1 Rajapakse, Indika 1 Riahi, Daniel N. 1 Schmidt, Sydney 1 Smith, James L. 1 Yates, Kemble R. 1 Zhang, Baohuan all top 5 Serials 6 Mathematical and Computer Modelling 5 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Biology 3 Theoretical Population Biology 3 Involve 2 IMA Journal of Applied Mathematics 2 Bulletin of Mathematical Biology 2 Mathematical Modelling 2 SIAM Review 1 American Mathematical Monthly 1 Physics of Fluids 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Non-Equilibrium Thermodynamics 1 Interfaces and Free Boundaries 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Advances in Fluid Mechanics 1 Journal of Biological Dynamics 1 Advances in Biochemistry and Biophysics all top 5 Fields 21 Biology and other natural sciences (92-XX) 20 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 6 Mechanics of deformable solids (74-XX) 4 Ordinary differential equations (34-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 260 times in 221 Documents Cited by ▼ Year ▼ Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Zbl 0652.92019 Wollkind, David J.; Collings, John B.; Logan, Jesse A. 90 1988 A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment. Zbl 1235.92009 Kealy, Bonni J.; Wollkind, David J. 34 2012 Nonlinear stability analyses of Turing patterns for a mussel-algae model. Zbl 1456.35028 Cangelosi, Richard A.; Wollkind, David J.; Kealy-Dichone, Bonni J.; Chaiya, Inthira 25 2015 Weakly nonlinear stability analyses of prototype reaction-diffusion model equations. Zbl 0808.35056 Wollkind, David J.; Manoranjan, Valipuram S.; Zhang, Limin 21 1994 Chemical Turing pattern formation analyses: Comparison of theory with experiment. Zbl 0992.92002 Wollkind, David J.; Stephenson, Laura E. 20 2000 Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in activator-inhibitor/immobilizer model systems. Zbl 0832.92003 Stephenson, Laura E.; Wollkind, David J. 8 1995 Applications of linear hyperbolic partial differential equations: Predator-prey systems and gravitational instability of nebulae. Zbl 0611.92026 Wollkind, David J. 7 1986 Nonlinear stability analyses of vegetative pattern formation in an arid environment. Zbl 1342.92030 Boonkorkuea, N.; Lenbury, Y.; Alvarado, F. J.; Wollkind, D. J. 6 2010 Age structure in predator-prey systems. I. A general model and a specific example. Zbl 0494.92016 Hastings, Alan; Wollkind, David 6 1982 A global analysis of a temperature-dependent model system for a mite predator-prey interaction. Zbl 0712.92020 Collings, John B.; Wollkind, David J. 5 1990 Singular perturbation techniques: a comparison of the method of matched asymptotic expansions with that of multiple scales. Zbl 0363.34039 Wollkind, David J. 4 1977 Nonlinear stability analyses of pattern formation on solid surfaces during ion-sputtered erosion. Zbl 1129.82323 Pansuwan, A.; Rattanakul, C.; Lenbury, Y.; Wollkind, D. J.; Harrison, L.; Rajapakse, I.; Cooper, K. 4 2005 Nonlinear instability analysis. Zbl 0900.76004 3 1997 Comprehensive applied mathematical modeling in the natural and engineering sciences. Theoretical predictions compared with data. Zbl 1387.00025 Wollkind, David J.; Dichone, Bonni J. 3 2017 A nonlinear stability analysis of pattern formation in thin liquid films. Zbl 1038.35081 Tian, Emily M.; Wollkind, David J. 3 2003 Diffusive instabilities in a one-dimensional temperature-dependent model system for a mite predator-prey interaction on fruit trees: dispersal motility and aggregative preytaxis effects. Zbl 0724.92026 Wollkind, D. J.; Collings, J. B.; Barba, M. C. B. 3 1991 Age structure in predator-prey systems. II. Functional response and stability and the paradox of enrichment. Zbl 0494.92017 Wollkind, David; Hastings, Alan; Logan, Jesse 3 1982 Onset of Rayleigh-Benard-Marangoni instability: Comparison between theory and experiment. Zbl 0501.76035 Ferm, E. N.; Wollkind, D. J. 3 1982 A non-linear stability analysis of the solidification of a pure substance. Zbl 0464.35044 Wollkind, David J.; Notestine, Ronald D. 2 1981 Weakly nonlinear analysis of a model of signal transduction pathway involving membrane based receptors. Zbl 1238.35163 Rattanakul, C.; Lenbury, Y.; Wollkind, D. J.; Chatsudthipong, V. 2 2009 Non-linear stability analyses of optical pattern formation in an atomic sodium vapour ring cavity. Zbl 1166.78305 Wollkind, D. J.; Alvarado, F. J.; Edmeade, D. E. 2 2008 The behavior of a population interaction-diffusion equation in its subcritical regime. Zbl 1375.35568 Davis, Mitchell G.; Wollkind, David J.; Cangelosi, Richard A.; Kealy-Dichone, Bonni J. 1 2018 Kelvin-Helmholtz instability in a layered Newtonian fluid model of the geological phenomenon of rock folding. Zbl 0525.76043 Wollkind, David J.; Alexander, J. Iwan D. 1 1982 The effect of suspended particles on Rayleigh-Bénard convection. I: A nonlinear stability analysis of a thermal equilibrium model. Zbl 0803.76079 Wollkind, D. J.; Zhang, L.-M. 1 1994 Linear perturbation analysis of the stability of a dissociating fluid. Zbl 0264.76045 Wollkind, David J.; Frisch, H. L. 1 1970 Chemical Turing patterns: A model system of a paradigm for morphogenesis. Zbl 1026.92004 Wollkind, David J.; Stephenson, Laura E. 1 2000 Metastability, hysteresis and outbreaks in a temperature-dependent model for a mite predator-prey interaction. Zbl 0706.92024 Collings, J. B.; Wollkind, D. J. 1 1990 A nonlinear stability analysis of a model equation for liquid phase electro-epitaxial growth of a dilute binary substance. Zbl 0654.35009 Wollkind, David J.; Wang, Shingmin 1 1988 Outbreaks and oscillations in a temperature-dependent model for a mite predator-prey interaction. Zbl 0722.92019 Collings, John B.; Wollkind, David J.; Moody, Michael E. 1 1990 Age structure in predator-prey systems: Intraspecific carnivore interaction, passive diffusion, and the paradox of enrichment. Zbl 0513.92020 Smith, J. L.; Wollkind, D. J. 1 1983 The behavior of a population interaction-diffusion equation in its subcritical regime. Zbl 1375.35568 Davis, Mitchell G.; Wollkind, David J.; Cangelosi, Richard A.; Kealy-Dichone, Bonni J. 1 2018 Comprehensive applied mathematical modeling in the natural and engineering sciences. Theoretical predictions compared with data. Zbl 1387.00025 Wollkind, David J.; Dichone, Bonni J. 3 2017 Nonlinear stability analyses of Turing patterns for a mussel-algae model. Zbl 1456.35028 Cangelosi, Richard A.; Wollkind, David J.; Kealy-Dichone, Bonni J.; Chaiya, Inthira 25 2015 A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment. Zbl 1235.92009 Kealy, Bonni J.; Wollkind, David J. 34 2012 Nonlinear stability analyses of vegetative pattern formation in an arid environment. Zbl 1342.92030 Boonkorkuea, N.; Lenbury, Y.; Alvarado, F. J.; Wollkind, D. J. 6 2010 Weakly nonlinear analysis of a model of signal transduction pathway involving membrane based receptors. Zbl 1238.35163 Rattanakul, C.; Lenbury, Y.; Wollkind, D. J.; Chatsudthipong, V. 2 2009 Non-linear stability analyses of optical pattern formation in an atomic sodium vapour ring cavity. Zbl 1166.78305 Wollkind, D. J.; Alvarado, F. J.; Edmeade, D. E. 2 2008 Nonlinear stability analyses of pattern formation on solid surfaces during ion-sputtered erosion. Zbl 1129.82323 Pansuwan, A.; Rattanakul, C.; Lenbury, Y.; Wollkind, D. J.; Harrison, L.; Rajapakse, I.; Cooper, K. 4 2005 A nonlinear stability analysis of pattern formation in thin liquid films. Zbl 1038.35081 Tian, Emily M.; Wollkind, David J. 3 2003 Chemical Turing pattern formation analyses: Comparison of theory with experiment. Zbl 0992.92002 Wollkind, David J.; Stephenson, Laura E. 20 2000 Chemical Turing patterns: A model system of a paradigm for morphogenesis. Zbl 1026.92004 Wollkind, David J.; Stephenson, Laura E. 1 2000 Nonlinear instability analysis. Zbl 0900.76004 3 1997 Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in activator-inhibitor/immobilizer model systems. Zbl 0832.92003 Stephenson, Laura E.; Wollkind, David J. 8 1995 Weakly nonlinear stability analyses of prototype reaction-diffusion model equations. Zbl 0808.35056 Wollkind, David J.; Manoranjan, Valipuram S.; Zhang, Limin 21 1994 The effect of suspended particles on Rayleigh-Bénard convection. I: A nonlinear stability analysis of a thermal equilibrium model. Zbl 0803.76079 Wollkind, D. J.; Zhang, L.-M. 1 1994 Diffusive instabilities in a one-dimensional temperature-dependent model system for a mite predator-prey interaction on fruit trees: dispersal motility and aggregative preytaxis effects. Zbl 0724.92026 Wollkind, D. J.; Collings, J. B.; Barba, M. C. B. 3 1991 A global analysis of a temperature-dependent model system for a mite predator-prey interaction. Zbl 0712.92020 Collings, John B.; Wollkind, David J. 5 1990 Metastability, hysteresis and outbreaks in a temperature-dependent model for a mite predator-prey interaction. Zbl 0706.92024 Collings, J. B.; Wollkind, D. J. 1 1990 Outbreaks and oscillations in a temperature-dependent model for a mite predator-prey interaction. Zbl 0722.92019 Collings, John B.; Wollkind, David J.; Moody, Michael E. 1 1990 Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Zbl 0652.92019 Wollkind, David J.; Collings, John B.; Logan, Jesse A. 90 1988 A nonlinear stability analysis of a model equation for liquid phase electro-epitaxial growth of a dilute binary substance. Zbl 0654.35009 Wollkind, David J.; Wang, Shingmin 1 1988 Applications of linear hyperbolic partial differential equations: Predator-prey systems and gravitational instability of nebulae. Zbl 0611.92026 Wollkind, David J. 7 1986 Age structure in predator-prey systems: Intraspecific carnivore interaction, passive diffusion, and the paradox of enrichment. Zbl 0513.92020 Smith, J. L.; Wollkind, D. J. 1 1983 Age structure in predator-prey systems. I. A general model and a specific example. Zbl 0494.92016 Hastings, Alan; Wollkind, David 6 1982 Age structure in predator-prey systems. II. Functional response and stability and the paradox of enrichment. Zbl 0494.92017 Wollkind, David; Hastings, Alan; Logan, Jesse 3 1982 Onset of Rayleigh-Benard-Marangoni instability: Comparison between theory and experiment. Zbl 0501.76035 Ferm, E. N.; Wollkind, D. J. 3 1982 Kelvin-Helmholtz instability in a layered Newtonian fluid model of the geological phenomenon of rock folding. Zbl 0525.76043 Wollkind, David J.; Alexander, J. Iwan D. 1 1982 A non-linear stability analysis of the solidification of a pure substance. Zbl 0464.35044 Wollkind, David J.; Notestine, Ronald D. 2 1981 Singular perturbation techniques: a comparison of the method of matched asymptotic expansions with that of multiple scales. Zbl 0363.34039 Wollkind, David J. 4 1977 Linear perturbation analysis of the stability of a dissociating fluid. Zbl 0264.76045 Wollkind, David J.; Frisch, H. L. 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 410 Authors 17 Wollkind, David J. 10 Sherratt, Jonathan A. 7 Wei, Junjie 6 Collings, John B. 6 Song, Yongli 5 Eigentler, Lukas 5 Sammartino, Marco Maria Luigi 4 Arancibia-Ibarra, Claudio 4 Banerjee, Malay 4 Currò, Carmela 4 Lombardo, Maria Carmela 4 Peng, Rui 4 Shi, Hongbo 4 Valenti, Giovanna 4 Yang, Wensheng 4 Zhang, Guohong 3 Balachandran, Krishnan 3 Consolo, Giancarlo 3 Feng, Peng 3 Flores, José D. 3 Gambino, Gaetana 3 Haque, Mainul 3 Hastings, Alan Matthew 3 Iuorio, Annalisa 3 Jin, Zhen 3 Lenbury, Yongwimon 3 Ruan, Shigui 3 Shen, Zuolin 3 Shi, Junping 3 Sun, Guiquan 3 Wang, Jinfeng 3 Wang, Mingxin 3 Wang, Xiaoli 3 Zuo, Wenjie 2 Bhadauria, Beer Singh 2 Buono, Pietro-Luciano 2 Cangelosi, Richard A. 2 Dey, Subrata 2 Dichone, Bonni J. 2 Eftimie, Raluca 2 Frank, Till Daniel 2 Ghorai, Saktipada 2 Giannino, Francesco 2 Grifó, Gabriele 2 Han, Renji 2 Han, Yazhou 2 Hayat, Tasawar 2 He, Le 2 Hu, Guangping 2 Huang, Jicai 2 Kealy-Dichone, Bonni J. 2 Li, Li 2 Li, Wan-Tong 2 Li, Xiaoling 2 Li, Xuepeng 2 Li, Yan 2 Liu, Quanxing 2 Liu, Siyu 2 Liu, Yongjiang 2 Liu, Zhijun 2 Logan, Jesse A. 2 Luo, Demou 2 Lupo, Salvatore 2 Ma, Manjun 2 Maini, Philip Kumar 2 Marasco, Addolorata 2 Misra, Om Prakash 2 Pettet, Graeme John 2 Qi, Ke 2 Qu, Anqi 2 Rattanakul, Chontita 2 Singh, Manoj Kumar 2 Tao, Jicheng 2 Tian, Canrong 2 Tong, Xue 2 van Heijster, Peter 2 Wang, Ai-Ling 2 Wang, Biao 2 Yi, Fengqi 2 Yue, Zongmin 2 Zhang, Lai 2 Zhang, Limin 2 Zhou, Jun 1 Aamo, Ole Morten 1 Abbas, Mujahid 1 Adeniji, Adejimi Adesola 1 Agrawal, Tanuja 1 Ajaz, Muhammad Bilal 1 Alfaro, Matthieu 1 Ali, Irfan 1 Alsaadi, Fuad Eid Salem 1 Al-saedi, Ahmed Eid Salem 1 Alvarado, F. J. 1 Anderson, Daniel M. 1 Anfinsen, Henrik 1 Bahuguna, Dhirendra 1 Bai, Liang 1 Baker, Ruth Elizabeth 1 Banerjee, Santo 1 Barba, M. C. B. ...and 310 more Authors all top 5 Cited in 73 Serials 15 Journal of Mathematical Biology 11 Bulletin of Mathematical Biology 11 Applied Mathematics and Computation 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Theoretical Population Biology 8 Physica D 6 Mathematical and Computer Modelling 6 Mathematical Biosciences and Engineering 6 International Journal of Biomathematics 6 Journal of Theoretical Biology 5 Nonlinear Dynamics 5 Communications in Nonlinear Science and Numerical Simulation 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 4 Mathematical Biosciences 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Chaos, Solitons and Fractals 4 Applied Mathematics Letters 4 Discrete Dynamics in Nature and Society 4 Advances in Difference Equations 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 Ricerche di Matematica 3 Journal of Dynamics and Differential Equations 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics and Computing 3 Mathematical Modelling of Natural Phenomena 3 Involve 2 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 Automatica 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Nonlinear Science 2 Physics of Fluids 2 Computational and Applied Mathematics 2 Journal of Biological Systems 2 Qualitative Theory of Dynamical Systems 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Biological Dynamics 2 Applications and Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 International Journal of Systems Science 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Science in China. Series A 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Filomat 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 Nonlinear Analysis. Modelling and Control 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Boundary Value Problems 1 Journal of Applied Mathematics & Informatics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Function Spaces 1 SN Partial Differential Equations and Applications all top 5 Cited in 23 Fields 169 Biology and other natural sciences (92-XX) 130 Partial differential equations (35-XX) 50 Ordinary differential equations (34-XX) 33 Dynamical systems and ergodic theory (37-XX) 14 Numerical analysis (65-XX) 12 Fluid mechanics (76-XX) 5 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year