Results 11 to 20 of about 95 (93)
On Behaviour of a Host-vector Epidemic Model with Non-linear Incidence [PDF]
, 2012 In this paper we find the possible phase portraits and bifurcations for a general class of host-vector epidemic models with non-linear incidence function generalizing the Ross model.Key words: Epidemics; Non-linear incidence; Global analysis ...
Akoto, Bismark +2 more
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Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator
Computational and Mathematical Biophysics, 2023 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
doaj +1 more source
Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
Open Mathematics, 2022 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
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 56, Page 2971-2987, 2004., 2004 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
Open Mathematics, 2019 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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On the critical periods of Liénard systems with cubic restoring forces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 61, Page 3259-3274, 2004., 2004 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
Hopf bifurcations in a three-species food chain system with multiple delays
Open Mathematics, 2017 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]
, 2016 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
Open Mathematics, 2018 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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Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey
Journal of Biological Dynamics, 2023 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
doaj +1 more source