PRED_PREY

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.


References in zbMATH (referenced in 61 articles , 2 standard articles )

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  1. Barati, Ali; Atabaigi, Ali: Numerical simulations of two components ecological models with sinc collocation method (2020)
  2. Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Yong-Liang: Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation (2020)
  3. Alharbi, Weam; Petrovskii, Sergei: Effect of complex landscape geometry on the invasive species spread: invasion with stepping stones (2019)
  4. Bennett, Jamie J. R.; Sherratt, Jonathan A.: How do dispersal rates affect the transition from periodic to irregular spatio-temporal oscillations in invasive predator-prey systems? (2019)
  5. Elgindy, Kareem T.: A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains (2019)
  6. Chang, Lili; Jin, Zhen: Efficient numerical methods for spatially extended population and epidemic models with time delay (2018)
  7. Diele, Fasma; Marangi, Carmela: Positive symplectic integrators for predator-prey dynamics (2018)
  8. Li, Xiaoling; Hu, Guangping; Feng, Zhaosheng: Pattern dynamics in a spatial predator-prey model with nonmonotonic response functions (2018)
  9. Sambath, M.; Balachandran, K.; Guin, L. N.: Spatiotemporal patterns in a predator-prey model with cross-diffusion effect (2018)
  10. Upadhyay, Ranjit Kumar; Datta, Jyotiska; Dong, Yueping; Takeuchi, Yasuhiro: Emergence of spatial patterns in a damaged diffusive eco-epidemiological system (2018)
  11. Zhang, Huayong; Cong, Xuebing; Huang, Tousheng; Ma, Shengnan; Pan, Ge: Neimark-Sacker-Turing instability and pattern formation in a spatiotemporal discrete predator-prey system with Allee effect (2018)
  12. Diele, Fasma; Garvie, Marcus; Trenchea, Catalin: Numerical analysis of a first-order in time implicit-symplectic scheme for predator-prey systems (2017)
  13. Guin, Lakshmi Narayan; Acharya, Sattwika: Dynamic behaviour of a reaction-diffusion predator-prey model with both refuge and harvesting (2017)
  14. Hu, Guangping; Li, Xiaoling; Li, Dongliang: Pattern dynamics of a diffusive predator-prey model with delay effect (2017)
  15. Song, Yongli; Yang, Rui; Sun, Guiquan: Pattern dynamics in a Gierer-Meinhardt model with a saturating term (2017)
  16. Cao, Xin; Song, Yongli; Zhang, Tonghua: Hopf bifurcation and delay-induced Turing instability in a diffusive \textitlacoperon model (2016)
  17. Han, Renji; Dai, Binxiang: Spatiotemporal dynamics and Hopf bifurcation in a delayed diffusive intraguild predation model with Holling II functional response (2016)
  18. Kazem, Saeed; Chadwick, Edmund; Hatam, Ali; Dehghan, Mehdi: Using generating functions to convert an implicit ((3,3)) finite difference method to an explicit form on diffusion equation with different boundary conditions (2016)
  19. Sherratt, Jonathan A.: Invasion generates periodic traveling waves (wavetrains) in predator-prey models with nonlocal dispersal (2016)
  20. Upadhyay, Ranjit Kumar; Roy, Parimita: Disease spread and its effect on population dynamics in heterogeneous environment (2016)

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