2020
DOI: 10.32604/cmes.2020.08664
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Stability and Bifurcation Analysis of a Discrete Predator-Prey Model with Mixed Holling Interaction

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Cited by 9 publications
(10 citation statements)
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“…The fixed point (x * , y * ) = (1.712924751, 0.6344165743) was preserved in the case of a controlled system (29). Furthermore, the variational matrix of the aforementioned controlled system computed at a fixed point (x * , y * ) = (1.712924751, 0.6344165743) is given by −…”
Section: Numerical Simulationmentioning
confidence: 99%
See 1 more Smart Citation
“…The fixed point (x * , y * ) = (1.712924751, 0.6344165743) was preserved in the case of a controlled system (29). Furthermore, the variational matrix of the aforementioned controlled system computed at a fixed point (x * , y * ) = (1.712924751, 0.6344165743) is given by −…”
Section: Numerical Simulationmentioning
confidence: 99%
“…Furthermore, Euler's scheme was used to discretize the model and study the complex behavior of the system. Elettreby et al [29] discussed a discrete-time prey-predator model with predator and prey populations having Holling type I and III functional responses, respectively. Moreover, they described a fascinating dynamical nature of the model, including stability, bifurcation, and chaos, which ensure the rich dynamics of discrete-time models.…”
Section: Introductionmentioning
confidence: 99%
“…Other examples include monocarpic plants and semelparous animals which have nonoverlapping populations and their births take place in usual breeding seasons. Moreover, dynamics of discrete time predator-prey system can exhibit a richer set of patterns than those found in continuous systems [12,13,14,15]. Also discrete time models can exhibit chaotic dynamics [12,13].…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, they obtained period doubling bifurcation and Neimark-Sacker bifurcation. Elettreby et al [14] addressed the complex behaviour of a discrete prey-predator model considering mixed functional response of Holling type I and III. Din [13] investigated the complex nature and chaos prevention in a discrete model of prey-predator interaction and found period doubling and Neimark-Sacker bifurcation for larger range of bifurcation parameter.…”
Section: Introductionmentioning
confidence: 99%
“…It is generally recognised that when there are non-overlapping generations in populations, discrete-time models defined by difference equations are more useful and trustworthy than continuous-time models. Furthermore, as compared to continuous models, these models give efficient computing results for numerical simulations as well as richer dynamical properties [1][2][3][4][5][6][7] . Many fascinating works on the stability, bifurcation and chaotic occurrences in discrete temporal models have appeared in the literature in recent years [8][9][10][11][12][13][14][15] .…”
mentioning
confidence: 99%