Discrete-time prey-predator model with θ-logistic growth for prey incorporating square root functional response
Abstract
Keywords
Full Text:
PDF [English]References
Abd-Elalim A. Elsadany, Dynamical complexities in a discrete-time food chain, Computational Ecology and Software, 2(2) (2012) 124-139.
C. Çelik and O. Duman, Allee effect in a discrete-time predator-prey system. Chaos Soliton Fractals, 40 (2009) 1956--1962.
J. Huang, Bifurcations and chaos in a discrete predator--prey system with Holling type-IV functional response, Acta Mathematicae Applicatae Sinica English Series, 21 (2005) 157--176.
J. Huang, S. Liu, S. Ruan and D. Xiao, Bifurcations in a discrete predator--prey model with nonmonotonic functional response, Journal of Mathematical Analysis and Applications, 464(1) (2018) 201-230.
M. Gámeza, I. Lópeza, C. Rodrígueza, Z. Vargab and J. Garayc, Ecological monitoring in a discrete-time prey--predator model, Journal of Theoretical Biology, 429(21) (2017) 52-60.
M. Zhao and Y. Du, Stability of a Discrete-Time Predator-Prey System with Allee Effect, Nonlinear Analysis and Differential Equations, 4(5) (2016) 225 - 233.
P.K. Santra, G.S. Mahapatra, Dynamical study of discrete-time prey predator model with constant prey refuge under imprecise biological parameters, Journal of Biological Systems, (2020) DOI: 10.1142/S0218339020500114.
P.K. Santra, G.S. Mahapatra and G.R. Phaijoo, Bifurcation and Chaos of a Discrete Predator-Prey Model with Crowley--Martin Functional Response Incorporating Proportional Prey Refuge, Mathematical Problems in Engineering, (2020) ID 5309814.
X. Liu and D. Xiao, Bifurcations in a discrete time Lotka--Volterra predator--prey system, Discrete And Continuous Dynamical Systems-Series B, 6 (2006) 559--572.
X. Liu and D. Xiao, Complex dynamic behaviors of a discrete-time predator--prey system, Chaos Solitons Fractals, 32 (2007) 80--94.
X. Liu, A note on the existence of periodic solution in discrete predator-prey models, Applied Mathematical Modelling, 34 (2010) 2477--2483.
Z. He and X. Lai, Bifurcation and chaotic behavior of a discrete-time predator-prey system, Nonlinear Analysis: Real World Applications, 12 (2012) 403--417.
Z. Hu, Z. Teng and L. Zhang, Stability and bifurcation analysis of a discrete predator--prey model with nonmonotonic functional response, Nonlinear Analysis: Real World Applications, 12 (2011) 2356--2377.
A. Singh and P. Deolia, Dynamical analysis and chaos control in discrete-time prey-predator model, Communications in Nonlinear Science and Numerical Simulation, 90 (2020).
R. Ma, Y. Bai and F. Wang, Dynamical behavior analysis of a two-dimensional discrete predator-prey model with prey refuge and fear factor, Journal of Applied Analysis and Computation, 10(4) (2020) 1683-1697.
A.Q. Khan and T. Khalique, Bifurcations and chaos control in a discrete-Time biological model, International Journal of Biomathematics, 13(4) (2020).
P. Chakraborty, U. Ghosh and S. Sarkar, Stability and bifurcation analysis of a discrete prey-predator model with square-root functional response and optimal harvesting, Journal of Biological Systems, 28(1) (2020) 91-110.
G. Blé, M.A. Dela-Rosa and I. Loreto-Hernández, Neimark--Sacker bifurcation analysis in an intraguild predation model with general functional responses, Journal of Difference Equations and Applications, 26(2) (2020) 223-243.
M.E. Gilpin and F.J. Ayala, Global models of growth and competition. Proceedings of the National Academy of Sciences of the USA, 70 (1973) 3590--3593.
F. Clark, B. W. Brook, S. Delean, H. R. Akcakaya and C. J. A. Bradshaw, The theta-logistic is unreliable for modelling most census data, Methods in Ecology and Evolution,1 (2010) 253--262
DOI: https://doi.org/10.34312/jjbm.v1i2.7660
Copyright (c) 2020 P.K. Santra
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Jambura Journal of Biomathematics (JJBM) has been indexed by:
EDITORIAL OFFICE OF JAMBURA JOURNAL OF BIOMATHEMATICS |
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Gorontalo Jl. Prof. Dr. Ing. B. J. Habibie, Moutong, Tilongkabila, Kabupaten Bone Bolango 96554, Gorontalo, Indonesia |
Email: editorial.jjbm@ung.ac.id |
+6281356190818 (Call/SMS/WA) |
Jambura Journal of Biomathematics (JJBM) by Department of Mathematics Universitas Negeri Gorontalo is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Powered by Public Knowledge Project OJS. |