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Journal of Biological Dynamics Volume 13, 2019 - Issue 1

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Bifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response

Qamar DinDepartment of Mathematics, University of the Poonch Rawalakot, Rawalakot, PakistanCorrespondence[email protected]
[email protected]

https://orcid.org/0000-0002-0999-7404

M. Sajjad ShabbirDepartment of Mathematics, Air University Islamabad, Islamabad, PakistanCorrespondence[email protected]

M. Asif KhanDepartment of Mathematics, University of the Poonch Rawalakot, Rawalakot, PakistanCorrespondence[email protected]

Khalil AhmadDepartment of Mathematics, Air University Islamabad, Islamabad, PakistanCorrespondence[email protected]

Pages 481-501 | Received 24 Feb 2019, Accepted 27 Jun 2019, Published online: 09 Jul 2019

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https://doi.org/10.1080/17513758.2019.1638976
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Muhammad Sajjad Shabbir, Qamar Din, Manuel De la Sen & J. F. Gómez-Aguilar. (2023) Exploring dynamics of plant–herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response. Journal of Mathematical Biology 88:1.
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Shaohui Yan, Ertong Wang & Qiyu Wang. (2023) Analysis and circuit implementation of a non-equilibrium fractional-order chaotic system with hidden multistability and special offset-boosting. Chaos: An Interdisciplinary Journal of Nonlinear Science 33:3.
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Ertong Wang, Shaohui Yan, Xi Sun & Qiyu Wang. (2022) Analysis of bifurcation mechanism of new hyperchaotic system, circuit implementation, and synchronization. Nonlinear Dynamics 111:4, pages 3869-3885.
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Emin Bešo, Senada Kalabušić & Esmir Pilav. (2023) Dynamics of a plant-herbivore system with Ricker plant growth and the strong Allee effects on plant population. Discrete and Continuous Dynamical Systems - B 0:0, pages 0-0.
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亚斌胡. (2023) The Qualitative Analysis of Oto-Escaff-Cisternas Model. Advances in Applied Mathematics 12:11, pages 4862-4873.
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Qamar Din, Waqas Ishaque, Muhammad Asad Iqbal & Umer Saeed. (2021) Modification of Nicholson–Bailey model under refuge effects with stability, bifurcation, and chaos control. Journal of Vibration and Control 28:23-24, pages 3524-3538.
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Qamar Din & Muhammad Arfan Zulfiqar. (2022) Qualitative behavior of a discrete predator–prey system under fear effects. Zeitschrift für Naturforschung A 77:11, pages 1023-1043.
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Ertong Wang, Shaohui Yan & Qiyu Wang. (2022) A New Four-Dimensional Chaotic System with Multistability and Its Predefined-Time Synchronization. International Journal of Bifurcation and Chaos 32:14.
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S. Kalabušić & E. Pilav. (2022) Bifurcations, Permanence and Local Behavior of the Plant-Herbivore Model with Logistic Growth of Plant Biomass. Qualitative Theory of Dynamical Systems 21:2.
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Asifa Tassaddiq, Muhammad Sajjad Shabbir, Qamar Din & Humera Naaz. (2022) Discretization, Bifurcation, and Control for a Class of Predator-Prey Interactions. Fractal and Fractional 6:1, pages 31.
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Rina Su & Chunrui Zhang. (2022) The generation mechanism of Turing-pattern in a Tree-grass competition model with cross diffusion and time delay. Mathematical Biosciences and Engineering 19:12, pages 12073-12103.
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Shaohui Yan, Ertong Wang, Qiyu Wang, Xi Sun & Yu Ren. (2021) Analysis, circuit implementation and synchronization control of a hyperchaotic system. Physica Scripta 96:12, pages 125257.
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Qamar Din. (2021) Dynamics and chaos control for a novel model incorporating plant quality index and larch budmoth interaction. Chaos, Solitons & Fractals 153, pages 111595.
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Qamar Din & Muhammad Irfan Khan. (2021) A Discrete-Time Model for Consumer–Resource Interaction with Stability, Bifurcation and Chaos Control. Qualitative Theory of Dynamical Systems 20:2.
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Muhammad Sajjad Shabbir, Qamar Din, Khalil Ahmad, Asifa Tassaddiq, Atif Hassan Soori & Muhammad Asif Khan. (2020) Stability, bifurcation, and chaos control of a novel discrete-time model involving Allee effect and cannibalism. Advances in Difference Equations 2020:1.
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Xiaorong Ma, Qamar Din, Muhammad Rafaqat, Nasir Javaid & Yongliang Feng. (2020) A Density-Dependent Host-Parasitoid Model with Stability, Bifurcation and Chaos Control. Mathematics 8:4, pages 536.
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S. Vaidyanathan, C-H Lien, W. Fuadi, Mujiarto, M. Mamat & Subiyanto. (2020) A New 4-D Multi-Stable Hyperchaotic Two-Scroll System with No-Equilibrium and its Hyperchaos Synchronization. Journal of Physics: Conference Series 1477, pages 022018.
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S. Vaidyanathan, I. M. Moroz, A. Sambas, Mujiarto & W. S. M. Sanjaya. (2020) A New 4-D Hyperchaotic Two-Wing System with a Unique Saddle-Point Equilibrium at the Origin, its Bifurcation Analysis and Circuit Simulation. Journal of Physics: Conference Series 1477:2, pages 022016.
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Asifa Tassaddiq, Muhammad Sajjad Shabbir, Qamar Din, Khalil Ahmad & Sabeena Kazi. (2020) A Ratio-Dependent Nonlinear Predator-Prey Model With Certain Dynamical Results. IEEE Access 8, pages 195074-195088.
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Youping Lin, Qamar Din, Muhammad Rafaqat, Abdelalim A. Elsadany & Yanqiu Zeng. (2020) Dynamics and Chaos Control for a Discrete-Time Lotka-Volterra Model. IEEE Access 8, pages 126760-126775.
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Muhammad Sajjad Shabbir, Qamar Din, Rana Alabdan, Asifa Tassaddiq & Khalil Ahmad. (2020) Dynamical Complexity in a Class of Novel Discrete-Time Predator-Prey Interaction With Cannibalism. IEEE Access 8, pages 100226-100240.
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Muhammad Sajjad Shabbir, Qamar Din, Muhammad Safeer, Muhammad Asif Khan & Khalil Ahmad. (2019) A dynamically consistent nonstandard finite difference scheme for a predator–prey model. Advances in Difference Equations 2019:1.
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Bifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response

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Bifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response

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