Results 21 to 30 of about 350 (105)
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
Dissipation-Induced Heteroclinic Orbits in Tippe Tops [PDF]
, 2008 This paper demonstrates that the conditions for the existence of a dissipation-induced heteroclinic orbit between the inverted and noninverted states of a tippe top are determined by a complex version of the equations for a simple harmonic oscillator ...
Bou-Rabee, Nawaf M. +2 more
core +3 more sources
On the optimality of double‐bracket flows
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 62, Page 3301-3319, 2004., 2004 We analyze the optimality of the stable fixed point of the double‐bracket equations. We introduce different types of optimality and prove local and global optimality results with respect to the Schatten p‐norms.
Anthony M. Bloch, Arieh Iserles
wiley +1 more source
An improved optimistic three-stage model for the spread of HIV amongst injecting intravenous drug users [PDF]
, 2009 We start off this paper with a brief introduction to modeling Human Immunodeficiency Virus (HIV) and Acquired Immune Deficiency Syndrome (AIDS) amongst sharing, injecting drug users (IDUs). Then we describe the mathematical model which we shall use which
Al-Fwzan, Wafa +2 more
core +2 more sources
Open Mathematics, 2016 A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper.
Chen Fengde +2 more
doaj +1 more source
An equivalence theorem concerning population growth in a variable environment
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 43, Page 2747-2758, 2003., 2003 We give conditions under which two solutions x and y of the Kolmogorov equation x˙=xf(t,x) satisfy limy(t)/x(t) = 1 as t → ∞. This conclusion is important for two reasons: it shows that the long‐time behavior of the population is independent of the initial condition and it applies to ecological systems in which the coefficients are time dependent.
Ray Redheffer, Richard R. Vance
wiley +1 more source
Open Mathematics, 2019 In this paper, we consider a Beddington-DeAngelis predator-prey system with stage structure for predator and time delay incorporating prey refuge. By analyzing the characteristic equations, we study the local stability of the equilibrium of the system ...
Xiao Zaowang +3 more
doaj +1 more source
Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
wiley +1 more source
Convergence Rate of Nonlinear Switched Systems
, 2015 This paper is concerned with the convergence rate of the solutions of nonlinear switched systems. We first consider a switched system which is asymptotically stable for a class of inputs but not for all inputs.
Jouan, Philippe, Naciri, Saïd
core +2 more sources
Tippe Top Inversion as a Dissipation-Induced Instability [PDF]
, 2004 By treating tippe top inversion as a dissipation-induced instability, we explain tippe top inversion through a system we call the modified Maxwell--Bloch equations. We revisit previous work done on this problem and follow Or's mathematical model [SIAM J.
Bou-Rabee, Nawaf M. +2 more
core +1 more source