Results 21 to 30 of about 89 (87)
Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey
In this work, we first modify a Lotka–Volterra predator–prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is large ...
Zhenliang Zhu +3 more
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The jump phenomenon associated with the dynamics of the duffing equation
The mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system.
M.P. Markakis
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We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
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Bifurcation and Global Stability of a SEIRS Model With a Modified Nonlinear Incidence Rate
In this work, a SEIRS (susceptible–exposed–infected–recovered–susceptible) model with modified nonlinear incidence rate is considered. The incidence rate illustrates how the number of infected individuals initially increases at the onset of a disease, subsequently decreases due to the psychological effect, and ultimately reaches saturation due to the ...
Shilan Amin +4 more
wiley +1 more source
Global periodic solutions in a plankton-fish interaction model with toxication delay
In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
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A model of competing species that exhibits zip bifurcation
The purpose of this paper is to present a concrete model of competing population species that exhibits a phenomenon called zip bifurcation. The Zip Bifurcation was introduced by Farkas in 1984 for a three dimensional ODE prey-predator system describing a
Luis F. Echeverri +2 more
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Multiple solutions of nonlinear boundary value problems for equations with critical points [PDF]
. We consider first two the second order autonomous differential equations with critical points, which allow for detecting an exact number of solutions to the Dirichlet boundary value problem.
Ogorodnikova, Svetlana +1 more
core
A nonlinear modified form of Bass model involving the interactions of non-adopter and adopter populations has been proposed to describe the process of diffusion of a new technology in the presence of evaluation period (time delay).
Rakesh Kumar +2 more
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Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems
Consider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
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Mathematical modelling of COVID-19 dynamics using SVEAIQHR model
In this study, we formulate an eight-compartment mathematical model with vaccination as one of the compartments to analyze the dynamics of COVID-19 transmission.
Venkatesh Ambalarajan +4 more
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