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Bogdanov–Takens Bifurcation of Codimensions 3 and 4 in a Holling and Leslie type Predator–Prey System with Strong Allee Effect
In this paper, we revisit a Leslie type predator–prey system with strong Allee effect on prey and simplified Holling type IV functional response...
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Takens–Bogdanov Bifurcation for a Ratio-Dependent Predation Interaction Involving Prey-Competition and Predator-Age
A large number of articles have been devoted to the study of age-dependent predation interaction. Most of them concentrate on the existence of the...
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Hopf and Bogdanov–Takens Bifurcations of a Delayed Bazykin Model
In this work, the Hopf and Bogdanov–Takens bifurcations of a delayed Bazykin predator–prey model with predator intraspecific interactions and...
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Imperfect and Bogdanov–Takens bifurcations in biological models: from harvesting of species to isolation of infectives
A natural biological system under human interventions may exhibit complex dynamical behaviors which could lead to either the collapse or...
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Bogdanov–Takens and Hopf Bifurcations Analysis of a Genetic Regulatory Network
The stability and two kinds of bifurcations of a genetic regulatory network are considered in this paper. We have given a complete stability analysis...
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Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting
A prey–predator model with constant-effort harvesting on the prey and predators is investigated in this paper. First, we discuss the number and type...
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M-current induced Bogdanov–Takens bifurcation and switching of neuron excitability class
In this work, we consider a general conductance-based neuron model with the inclusion of the acetycholine sensitive, M-current. We study bifurcations...
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Bifurcation Patterns in a Discrete Predator–Prey Model Incorporating Ratio-Dependent Functional Response and Prey Harvesting
This work examines a discrete Leslie-Gower model of prey-predator dynamics with Holling type-IV functional response and harvesting effects. The study...
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Bifurcation Analysis of a Kolmogorov Type Tritrophic Model
A tritrophic food chain model of Kolmogorov type is analyzed. The mesopredator and superpredator populations are specialist, the functional responses...
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Bifurcation analysis of an algal blooms dynamical model in trophic interaction
In this paper, we revisit the algal blooms model of plankton interactions initially proposed by Das and Sarkar (DCDIS-A, 14(3):401–414, 2007), where...
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Bifurcation and hybrid control in a discrete predator–prey model with Holling type-IV functional response
In this paper we investigate the 1:1 resonance and the hybrid control in a discrete predator–prey model with Holling-IV functional response, which is...
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Bogdanov–Takens and Triple Zero Bifurcations for a Neutral Functional Differential Equations with Multiple Delays
In this paper, a neutral functional differential equation with multiple delays is considered. In a first step, we assumed some sufficient hypotheses...
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Study of co-dimension two bifurcation of a prey–predator model with prey refuge and non-linear harvesting on both species
The dynamics of prey–predator system, when one or both the species are harvested non-linearly, has become a topic of intense study because of its...
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Bifurcation Analysis of a Modified May–Holling–Tanner Predator–Prey Model with Allee Effect
In this paper, we investigate the dynamical behavior of a modified May–Holling–Tanner predator–prey model by considering the Allee effect in the prey...
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Bifurcation and Dynamic Analyses of Non-monotonic Predator–Prey System with Constant Releasing Rate of Predators
In this paper, we systematical study the rich dynamics and complex bifurcations of a non-monotonic predator–prey system with a constant releasing...
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Influence of Fear Effect on Bifurcation Dynamics of Predator-prey System in a Predator-poisoned Environment
In this paper, we propose a predator-prey system with fear effect and predator death due to toxins based on the phenomenon that African predators...
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A Comprehensive Study of Bifurcations in an Interactive Population Model with Food-Limited Growth
In a two-dimensional prey–predator model with a Holling type-II functional response and a food-limited prey growth rate, this study explores the...
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Bogdanov-Takens Bifurcation in a Leslie Type Tritrophic Model with General Functional Responses
The dynamics of a differential system modeling a tritrophic food chain of Leslie type is analyzed. It is assumed that the prey has general growth...
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Modeling the p53-Mdm2 Dynamics Triggered by DNA Damage
In this paper, a p53-Mdm2 network model with Michaelis–Menten function involved in DNA damage repair is studied by using the dynamical system...
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The Impact of Allee Effect on a Leslie–Gower Predator–Prey Model with Hunting Cooperation
A Leslie–Gower predator–prey model with Allee effect on prey and hunting cooperation on predator is considered. We show the solution of model is...
