Impact of disease on a two-patch eco-epidemic model in presence of prey dispersal
The present model is dealt with prey-predator interactions in two different patches where only prey species are allowed to disperse among the patches.
Saha Sangeeta, Samanta Guruprasad
doaj +1 more source
Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator
In this work, the dynamics of a food chain model with disease in the predator and the Allee effect in the prey have been investigated. The model also incorporates a Holling type-III functional response, accounting for both disease transmission and ...
Kumar Bipin, Sinha Rajesh Kumar
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Classification of the Solutions of Semilinear Elliptic Problems in a Ball [PDF]
In this paper we fully describe the set of the positive and nodal (regular and singular) radial solutions of the superlinear elliptic P.D.E. \Gamma\Deltau = u + juj p\Gamma1 u in B 1 ; u = 0 on @B 1 ; p ? 1 ; (1) without restriction on the range of 2
Dolbeault, Jean +6 more
core +1 more source
Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
We are concerned with Dirichlet problems of impulsive differential equations −u″(x)−λu(x)+g(x,u(x))+∑j=1pIj(u(x))δ(x−yj)=f(x)for a.e.x∈(0,π),u(0)=u(π)=0,\left\{\begin{array}{l}-{u}^{^{\prime\prime} }\left(x)-\lambda u\left(x)+g\left(x,u\left(x))+\mathop{\
Ma Mantang, Ma Ruyun
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On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
A four‐dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three‐dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf‐Andronov‐Poincaré bifurcation for the four‐dimensional epidemic model are ...
M. M. A. El-Sheikh, S. A. A. El-Marouf
wiley +1 more source
On the critical periods of Liénard systems with cubic restoring forces
We study local bifurcations of critical periods in the neighborhood of a nondegenerate center of a Liénard system of the form x˙=−y+F(x), y˙=g(x), where F(x) and g(x) are polynomials such that deg(g(x)) ≤ 3, g(0) = 0, and g′(0) = 1, F(0) = F′(0) = 0 and the system always has a center at (0, 0). The set of coefficients of F(x) and g(x) is split into two
Zhengdong Du
wiley +1 more source
In this paper, we show the existence of an S-shaped connected component in the set of radial positive solutions of boundary value ...
Xu Man, Ma Ruyun
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Hopf bifurcations in a three-species food chain system with multiple delays
This paper is concerned with a three-species Lotka-Volterra food chain system with multiple delays. By linearizing the system at the positive equilibrium and analyzing the associated characteristic equation, the stability of the positive equilibrium and ...
Xie Xiaoliang, Zhang Wen
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Bifurcations of Periodic Solutions to Differential Equations and Multivalent Guiding Functions Method [PDF]
In this paper, we define a new class of multivalent guiding functions called local multivalent guiding functions and use it to study the global bifurcation problem of periodic soluions to a parameterized differential equation.
Kornev, Sergei +3 more
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Chaos and bifurcation in the controlled chaotic system
In this paper, chaos and bifurcation are explored for the controlled chaotic system, which is put forward based on the hybrid strategy in an unusual chaotic system.
Liu Yongjian +2 more
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