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: 35 Co-Authors with 40 Joint Publications 351 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 Johnson, Robin Stanley 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. 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 244 times in 207 Documents Cited by ▼ Year ▼ Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Zbl 0652.92019Wollkind, David J.; Collings, John B.; Logan, Jesse A. 86 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 1235.92009Kealy, Bonni J.; Wollkind, David J. 30 2012 Nonlinear stability analyses of Turing patterns for a mussel-algae model. Zbl 1456.35028Cangelosi, Richard A.; Wollkind, David J.; Kealy-Dichone, Bonni J.; Chaiya, Inthira 24 2015 Weakly nonlinear stability analyses of prototype reaction-diffusion model equations. Zbl 0808.35056Wollkind, David J.; Manoranjan, Valipuram S.; Zhang, Limin 21 1994 Chemical Turing pattern formation analyses: Comparison of theory with experiment. Zbl 0992.92002Wollkind, David J.; Stephenson, Laura E. 17 2000 Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in activator-inhibitor/immobilizer model systems. Zbl 0832.92003Stephenson, Laura E.; Wollkind, David J. 8 1995 Applications of linear hyperbolic partial differential equations: Predator-prey systems and gravitational instability of nebulae. Zbl 0611.92026Wollkind, David J. 7 1986 Age structure in predator-prey systems. I. A general model and a specific example. Zbl 0494.92016Hastings, Alan; Wollkind, David 6 1982 Nonlinear stability analyses of vegetative pattern formation in an arid environment. Zbl 1342.92030Boonkorkuea, N.; Lenbury, Y.; Alvarado, F. J.; Wollkind, D. J. 5 2010 A global analysis of a temperature-dependent model system for a mite predator-prey interaction. Zbl 0712.92020Collings, John B.; Wollkind, David J. 4 1990 Nonlinear stability analyses of pattern formation on solid surfaces during ion-sputtered erosion. Zbl 1129.82323Pansuwan, A.; Rattanakul, C.; Lenbury, Y.; Wollkind, D. J.; Harrison, L.; Rajapakse, I.; Cooper, K. 4 2005 Singular perturbation techniques: a comparison of the method of matched asymptotic expansions with that of multiple scales. Zbl 0363.34039Wollkind, David J. 4 1977 Nonlinear instability analysis. Zbl 0900.76004 3 1997 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 0724.92026Wollkind, D. J.; Collings, J. B.; Barba, M. C. B. 3 1991 A nonlinear stability analysis of pattern formation in thin liquid films. Zbl 1038.35081Tian, Emily M.; Wollkind, David J. 3 2003 Age structure in predator-prey systems. II. Functional response and stability and the paradox of enrichment. Zbl 0494.92017Wollkind, David; Hastings, Alan; Logan, Jesse 3 1982 Onset of Rayleigh-Benard-Marangoni instability: Comparison between theory and experiment. Zbl 0501.76035Ferm, E. N.; Wollkind, D. J. 3 1982 A non-linear stability analysis of the solidification of a pure substance. Zbl 0464.35044Wollkind, David J.; Notestine, Ronald D. 2 1981 Non-linear stability analyses of optical pattern formation in an atomic sodium vapour ring cavity. Zbl 1166.78305Wollkind, D. J.; Alvarado, F. J.; Edmeade, D. E. 2 2008 Weakly nonlinear analysis of a model of signal transduction pathway involving membrane based receptors. Zbl 1238.35163Rattanakul, C.; Lenbury, Y.; Wollkind, D. J.; Chatsudthipong, V. 2 2009 Metastability, hysteresis and outbreaks in a temperature-dependent model for a mite predator-prey interaction. Zbl 0706.92024Collings, J. B.; Wollkind, D. J. 1 1990 The effect of suspended particles on Rayleigh-Bénard convection. I: A nonlinear stability analysis of a thermal equilibrium model. Zbl 0803.76079Wollkind, D. J.; Zhang, L.-M. 1 1994 Outbreaks and oscillations in a temperature-dependent model for a mite predator-prey interaction. Zbl 0722.92019Collings, John B.; Wollkind, David J.; Moody, Michael E. 1 1990 Linear perturbation analysis of the stability of a dissociating fluid. Zbl 0264.76045Wollkind, David J.; Frisch, H. L. 1 1970 Chemical Turing patterns: A model system of a paradigm for morphogenesis. Zbl 1026.92004Wollkind, David J.; Stephenson, Laura E. 1 2000 A nonlinear stability analysis of a model equation for liquid phase electro-epitaxial growth of a dilute binary substance. Zbl 0654.35009Wollkind, David J.; Wang, Shingmin 1 1988 Age structure in predator-prey systems: Intraspecific carnivore interaction, passive diffusion, and the paradox of enrichment. Zbl 0513.92020Smith, J. L.; Wollkind, D. J. 1 1983 Kelvin-Helmholtz instability in a layered Newtonian fluid model of the geological phenomenon of rock folding. Zbl 0525.76043Wollkind, David J.; Alexander, J. Iwan D. 1 1982 Comprehensive applied mathematical modeling in the natural and engineering sciences. Theoretical predictions compared with data. Zbl 1387.00025Wollkind, David J.; Dichone, Bonni J. 1 2017 The behavior of a population interaction-diffusion equation in its subcritical regime. Zbl 1375.35568Davis, Mitchell G.; Wollkind, David J.; Cangelosi, Richard A.; Kealy-Dichone, Bonni J. 1 2018 The behavior of a population interaction-diffusion equation in its subcritical regime. Zbl 1375.35568Davis, 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 1387.00025Wollkind, David J.; Dichone, Bonni J. 1 2017 Nonlinear stability analyses of Turing patterns for a mussel-algae model. Zbl 1456.35028Cangelosi, Richard A.; Wollkind, David J.; Kealy-Dichone, Bonni J.; Chaiya, Inthira 24 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 1235.92009Kealy, Bonni J.; Wollkind, David J. 30 2012 Nonlinear stability analyses of vegetative pattern formation in an arid environment. Zbl 1342.92030Boonkorkuea, N.; Lenbury, Y.; Alvarado, F. J.; Wollkind, D. J. 5 2010 Weakly nonlinear analysis of a model of signal transduction pathway involving membrane based receptors. Zbl 1238.35163Rattanakul, 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 1166.78305Wollkind, D. J.; Alvarado, F. J.; Edmeade, D. E. 2 2008 Nonlinear stability analyses of pattern formation on solid surfaces during ion-sputtered erosion. Zbl 1129.82323Pansuwan, 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 1038.35081Tian, Emily M.; Wollkind, David J. 3 2003 Chemical Turing pattern formation analyses: Comparison of theory with experiment. Zbl 0992.92002Wollkind, David J.; Stephenson, Laura E. 17 2000 Chemical Turing patterns: A model system of a paradigm for morphogenesis. Zbl 1026.92004Wollkind, 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 0832.92003Stephenson, Laura E.; Wollkind, David J. 8 1995 Weakly nonlinear stability analyses of prototype reaction-diffusion model equations. Zbl 0808.35056Wollkind, 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 0803.76079Wollkind, 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 0724.92026Wollkind, 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 0712.92020Collings, John B.; Wollkind, David J. 4 1990 Metastability, hysteresis and outbreaks in a temperature-dependent model for a mite predator-prey interaction. Zbl 0706.92024Collings, J. B.; Wollkind, D. J. 1 1990 Outbreaks and oscillations in a temperature-dependent model for a mite predator-prey interaction. Zbl 0722.92019Collings, 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 0652.92019Wollkind, David J.; Collings, John B.; Logan, Jesse A. 86 1988 A nonlinear stability analysis of a model equation for liquid phase electro-epitaxial growth of a dilute binary substance. Zbl 0654.35009Wollkind, David J.; Wang, Shingmin 1 1988 Applications of linear hyperbolic partial differential equations: Predator-prey systems and gravitational instability of nebulae. Zbl 0611.92026Wollkind, David J. 7 1986 Age structure in predator-prey systems: Intraspecific carnivore interaction, passive diffusion, and the paradox of enrichment. Zbl 0513.92020Smith, J. L.; Wollkind, D. J. 1 1983 Age structure in predator-prey systems. I. A general model and a specific example. Zbl 0494.92016Hastings, Alan; Wollkind, David 6 1982 Age structure in predator-prey systems. II. Functional response and stability and the paradox of enrichment. Zbl 0494.92017Wollkind, David; Hastings, Alan; Logan, Jesse 3 1982 Onset of Rayleigh-Benard-Marangoni instability: Comparison between theory and experiment. Zbl 0501.76035Ferm, E. N.; Wollkind, D. J. 3 1982 Kelvin-Helmholtz instability in a layered Newtonian fluid model of the geological phenomenon of rock folding. Zbl 0525.76043Wollkind, David J.; Alexander, J. Iwan D. 1 1982 A non-linear stability analysis of the solidification of a pure substance. Zbl 0464.35044Wollkind, 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 0363.34039Wollkind, David J. 4 1977 Linear perturbation analysis of the stability of a dissociating fluid. Zbl 0264.76045Wollkind, David J.; Frisch, H. L. 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 384 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 Lombardo, Maria Carmela 4 Peng, Rui 4 Shi, Hongbo 4 Yang, Wensheng 4 Zhang, Guohong 3 Balachandran, Krishnan 3 Banerjee, Malay 3 Currò, Carmela 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 Valenti, Giovanna 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 Consolo, Giancarlo 2 Dichone, Bonni J. 2 Eftimie, Raluca 2 Frank, Till Daniel 2 Giannino, Francesco 2 Grifó, Gabriele 2 Han, Renji 2 Han, Yazhou 2 Hayat, Tasawar 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 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 Agrawal, Tanuja 1 Ajaz, Muhammad Bilal 1 Alfaro, Matthieu 1 Ali, Irfan 1 Alsaadi, Fuad Eid S. 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. 1 Barresi, R. 1 Barrio, Rafael Álvarez-Nóvoa 1 Benjamin, Thomas Brooke 1 Bennett, Jamie J. R. 1 Bentout, Soufiane ...and 284 more Authors all top 5 Cited in 68 Serials 13 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 7 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 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 4 Mathematical Biosciences 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 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Differential Equations 3 Ricerche di Matematica 3 Abstract and Applied Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Applied Mathematics and Computing 3 Mathematical Modelling of Natural Phenomena 3 Involve 2 Journal of Fluid Mechanics 2 Automatica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Dynamics and Differential Equations 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 Journal of Computational Physics 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 Mathematics and Computers in Simulation 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 SIAM Review 1 Filomat 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 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 24 Fields 160 Biology and other natural sciences (92-XX) 120 Partial differential equations (35-XX) 48 Ordinary differential equations (34-XX) 29 Dynamical systems and ergodic theory (37-XX) 11 Numerical analysis (65-XX) 11 Fluid mechanics (76-XX) 5 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-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) 1 Mathematics education (97-XX) Citations by Year