Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Cross-diffusive pattern formation and Hopf-bifurcation analysis of two species plankton interaction model

Ranjit Kumar Upadhyay, Sarita Kumari, Bapin Mondal and Satish Kumar Tiwari
Indian Journal of Pure and Applied Mathematics (2025)
https://doi.org/10.1007/s13226-025-00775-9

Investigating the Dynamic Behavior of Integer and Noninteger Order System of Predation with Holling’s Response

Kolade M. Owolabi, Sonal Jain and Edson Pindza
Mathematics 12 (10) 1530 (2024)
https://doi.org/10.3390/math12101530

Spatio-temporal complexity in a prey-predator system with Holling type-IV response and Leslie-type numerical response: Turing and steady-state bifurcations

Reeta Yadav and Moitri Sen
Mathematics and Computers in Simulation 225 283 (2024)
https://doi.org/10.1016/j.matcom.2024.05.019

An echo state network based adaptive dynamic programming approach for time-varying parameters optimization with application in algal bloom prediction

Huiyan Zhang, Bo Hu, Xiaoyi Wang, Li Wang, Jiping Xu, Qian Sun and Zhiyao Zhao
Applied Soft Computing 122 108796 (2022)
https://doi.org/10.1016/j.asoc.2022.108796

Complete classification of bifurcation curves for a multiparameter diffusive logistic problem with generalized Holling type-IV functional response

Jyun-Yuan Ciou and Tzung-Shin Tzung-Shin
Electronic Journal of Differential Equations 2021 (01-104) 10 (2021)
https://doi.org/10.58997/ejde.2021.10

Permanence and Extinction of a Diffusive Predator–Prey Model with Robin Boundary Conditions

M. A. Aziz-Alaoui, M. Daher Okiye and A. Moussaoui
Acta Biotheoretica 66 (4) 367 (2018)
https://doi.org/10.1007/s10441-018-9332-0

Neimark-Sacker-Turing Instability and Pattern Formation in a Spatiotemporal Discrete Predator-Prey System with Allee Effect

Huayong Zhang, Xuebing Cong, Tousheng Huang, Shengnan Ma and Ge Pan
Discrete Dynamics in Nature and Society 2018 1 (2018)
https://doi.org/10.1155/2018/8713651

Complex dynamics of sexually reproductive generalist predator and gestation delay in a food chain model: double Hopf-bifurcation to Chaos

Rashmi Agrawal, Debaldev Jana, Ranjit Kumar Upadhyay and V. Sree Hari Rao
Journal of Applied Mathematics and Computing 55 (1-2) 513 (2017)
https://doi.org/10.1007/s12190-016-1048-1

Spatiotemporal complexity of a discrete space-time predator−prey system with self- and cross-diffusion

Tousheng Huang, Huayong Zhang and Hongju Yang
Applied Mathematical Modelling 47 637 (2017)
https://doi.org/10.1016/j.apm.2017.03.049

Complex Dynamics of Wetland Ecosystem with Nonlinear Harvesting: Application to Chilika Lake in Odisha, India

Ranjit Kumar Upadhyay, S. K. Tiwari and Parimita Roy
International Journal of Bifurcation and Chaos 25 (07) 1540016 (2015)
https://doi.org/10.1142/S0218127415400167

A PREDATOR–PREY INTERACTION MODEL WITH SELF- AND CROSS-DIFFUSION IN AQUATIC SYSTEMS

RANJIT KUMAR UPADHYAY, ATASI PATRA, B. DUBEY and N. K. THAKUR
Journal of Biological Systems 22 (04) 691 (2014)
https://doi.org/10.1142/S0218339014500284

NONLINEAR NON-EQUILIBRIUM PATTERN FORMATION IN A SPATIAL AQUATIC SYSTEM: EFFECT OF FISH PREDATION

RANJIT KUMAR UPADHYAY, N. K. THAKUR and B. DUBEY
Journal of Biological Systems 18 (01) 129 (2010)
https://doi.org/10.1142/S0218339010003238

Spatiotemporal Dynamics in a Spatial Plankton System

R. K. Upadhyay, W. Wang and N. K. Thakur
Mathematical Modelling of Natural Phenomena 5 (5) 102 (2010)
https://doi.org/10.1051/mmnp/20105507

OBSERVABILITY OF CHAOS AND CYCLES IN ECOLOGICAL SYSTEMS: LESSONS FROM PREDATOR–PREY MODELS

RANJIT KUMAR UPADHYAY
International Journal of Bifurcation and Chaos 19 (10) 3169 (2009)
https://doi.org/10.1142/S0218127409024748

Spatiotemporal pattern formation in a diffusive predator-prey system: an analytical approach

Balram Dubey, Nitu Kumari and Ranjit Kumar Upadhyay
Journal of Applied Mathematics and Computing 31 (1-2) 413 (2009)
https://doi.org/10.1007/s12190-008-0221-6

Wave phenomena and edge of chaos in a diffusive predator-prey system under Allee effect

Ranjit Kumar Upadhyay, Nitu Kumari and Vikas Rai
Differential Equations and Dynamical Systems 17 (3) 301 (2009)
https://doi.org/10.1007/s12591-009-0022-x