PRED_PREY swMATH ID: 12310 Software Authors: Garvie, Marcus R.; Burkardt, John; Morgan, Jeff Description: Simple MATLAB codes for simulating Predator-Prey interactions in 1D and 2D: PRED_PREY_SIM is a collection of simple MATLAB routines using finite element / difference methods for simulating the dynamics of predator-prey interactions modelled by nonlinear reaction-diffusion systems. The collection of codes in 1D and 2D are called FD1D and FD2D respectively. PRED_PREY_ARB is a collection of simple MATLAB routines using the finite element method for simulating the dynamics of predator-prey interactions modelled by a nonlinear reaction-diffusion system. Unlike FD2D the systems are solved on domains of arbitrary shape using general boundary conditions. The collection of 2D codes are called FE2D. Homepage: http://www.uoguelph.ca/~mgarvie/PredPrey_files/pred_prey_sim.html Dependencies: Matlab Related Software: Matlab; wavetrain; DistMesh; CutFEM; MATCONT; PRMLT; PersistenceImages; Persistence Landscape; PHAT; Perseus; CVIPtools; OpenQSEI; PEAK; RODAS; Differentiation Matrix Suite; MATLAB ODE suite; ode23s; ode113; Ode15s; ode45 Cited in: 88 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Simple finite element methods for approximating predator-prey dynamics in two dimensions using MATLAB. Zbl 1332.92053Garvie, Marcus R.; Burkardt, John; Morgan, Jeff 2015 Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081Garvie, Marcus R. 2007 all top 5 Cited by 169 Authors 8 Guin, Lakshmi Narayan 6 Cai, Yongli 6 Sherratt, Jonathan A. 5 Wang, Weiming 4 Baek, Hunki 4 Diele, Fasma 3 Dai, Binxiang 3 Garvie, Marcus R. 3 Han, Renji 3 Hu, Guangping 3 Kumar Upadhyay, Ranjit 3 Li, Xiaoling 3 Marangi, Carmela 3 Owolabi, Kolade Matthew 3 Ragni, Stefania 3 Rao, Feng 3 Song, Yongli 3 Sun, Guiquan 3 Wang, Xiaoqin 2 Banerjee, Malay 2 Dai, Chuanjun 2 Dehghan Takht Fooladi, Mehdi 2 Guo, Zhengguang 2 Jin, Zhen 2 Kang, Yun 2 Lian, Xinze 2 Mei, Debing 2 Rademacher, Jens Diederich Michael 2 Roy, Parimita 2 Smith, Matthew J. 2 Wang, Hailing 2 Wang, Yi 2 Yu, Hengguo 2 Zhao, Min 2 Zhu, Yanuo 1 Acharya, Sattwika 1 Agusto, Folashade B. 1 Alharbi, Weam 1 Arancibia-Ibarra, Claudio 1 Atabaigi, Ali 1 Balachandran, Krishnan 1 Bamigbola, O. M. 1 Barati, Ali 1 Basirat, Behrooz 1 Bennett, Jamie J. R. 1 Bhowmik, Samir Kumar 1 Bode, Michael 1 Bozzini, Benedetto 1 Bürger, Raimund 1 Burkardt, John V. 1 Calcina, Sabrina S. 1 Cao, Jinde 1 Cao, Xin 1 Chadwick, Edmund A. 1 Chakraborty, Kunal 1 Chakravarty, Santabrata 1 Chang, Lili 1 Choi, Yongho 1 Cong, Xuebing 1 Dagbovie, Ayawoa S. 1 Datta, Jyotiska 1 Di, Yue 1 Djilali, Salih 1 Dong, Yueping 1 Elahi, Hamid Reza 1 Elgindy, Kareem T. 1 Feng, Xinlong 1 Feng, Zhaosheng 1 Flores, José D. 1 Frittelli, Massimo 1 Gameiro, Marcio F. 1 Gan, Wenzhen 1 Gao, Xiaoyan 1 Gu, Xian-Ming 1 Hatam, Ali 1 Huang, Ting-Zhu 1 Huang, Tousheng 1 Huang, Ying 1 Jeong, Darae 1 Jian, Huanyan 1 Jin, Mengqing 1 Jung, Dongick 1 Kazem, Saeed 1 Kim, Junseok 1 Kim, Kyoung Hwan 1 Kim, Sangkwon 1 Kwak, Soobin 1 Lacitignola, Deborah 1 Lee, Chaeyoung 1 Li, Bailian 1 Li, Dongliang 1 Li, Jing 1 Li, Li 1 Li, Xiaoyu 1 Li, Zhibin 1 Lin, Yezhi 1 Lin, Zhigui 1 Liu, Haifeng 1 Liu, Qixuan 1 Logan, John David ...and 69 more Authors all top 5 Cited in 43 Serials 7 Mathematics and Computers in Simulation 7 Discrete Dynamics in Nature and Society 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Abstract and Applied Analysis 5 Nonlinear Dynamics 4 Bulletin of Mathematical Biology 4 Applied Mathematics and Computation 3 Journal of Mathematical Analysis and Applications 3 Chaos, Solitons and Fractals 3 Mathematical Problems in Engineering 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Biomathematics 2 Physica A 2 Applied Mathematical Modelling 2 Nonlinear Analysis. Real World Applications 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Computational and Applied Mathematics 1 Kyungpook Mathematical Journal 1 Results in Mathematics 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Numerical Algorithms 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Journal of Biological Systems 1 Applied Sciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Mathematical Medicine and Biology 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Journal of Statistical Mechanics: Theory and Experiment 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Computational & Mathematical Methods in Medicine 1 International Journal of Differential Equations 1 Journal of Theoretical Biology all top 5 Cited in 17 Fields 67 Biology and other natural sciences (92-XX) 59 Partial differential equations (35-XX) 25 Numerical analysis (65-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 4 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year