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Complicated endemics of an SIRS model with a generalized incidence under preventive vaccination and treatment controls
Abstract In this paper, we propose and study an SIRS epidemic model that incorporates: a generalized incidence rate function describing mechanisms of the disease transmission; a preventiveExpand
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The complex dynamics of a diffusive prey-predator model with an Allee effect in prey
Abstract This paper investigates complex dynamics of a predator–prey interaction model that incorporates: (a) an Allee effect in prey; (b) the Michaelis–Menten type functional response between preyExpand
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Boundedness of solutions for semilinear Duffing’s equation with asymmetric nonlinear term
AbstractIn this paper we study the following second-order periodic system: x″+V′(x)+p(x)f(t)=0, where V(x) has a singularity. Under some assumptions on the V(x), p(x) and f(t), by Ortega’s smallExpand
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Complex patterns in a predator-prey model with self and cross-diffusion
In this paper, we present a theoretical analysis of processes of pattern formation that involves organisms distribution and their interaction of spatially distributed population with self as well asExpand
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Spatiotemporal dynamics in a reaction–diffusion toxic-phytoplankton–zooplankton model
In this paper, we investigate the complex dynamics of a spatial toxic-phytoplankton–zooplankton model with Holling type-II functional response. Through a detailed analytical study of theExpand
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Spatiotemporal complexity of a predator–prey system with the effect of noise and external forcing
Abstract In this paper, we present a spatial version of the Ivlev-type predator–prey model which contains some important factors, such as noise on predator, external periodic forcing and diffusionExpand
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Pattern selection in a ratio-dependent predator–prey model
In this paper, we have presented Turing pattern selection in a ratio-dependent predator?prey model with zero-flux boundary conditions, for which we have given a general survey of the linear stabilityExpand
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Spatiotemporal complexity of a three-species ratio-dependent food chain model
In this paper, we investigate the complex dynamics of a ratio-dependent spatially extended food chain model. Through a detailed analytical study of the reaction–diffusion model, we obtain someExpand
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Stability analysis of an epidemic model with diffusion and stochastic perturbation
Abstract In this paper, we investigate the stability of an epidemic model with diffusion and stochastic perturbation. We first show both the local and global stability of the endemic equilibrium ofExpand
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Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect
We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effect, density-dependence, and environmental noise. By constructingExpand
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