the modeling investigation in this paper discusses the system level effects of a toxicant on a three species food chain system. in the models, we have assumed that the presence of top predator reduces the predatory ability of the intermediate predator. the stability analysis of the models is carried out and the sufficient conditions for the existence and extinction of the populations under the ...

Introduction: Arteries are made up three layers; tunica intima, tunica media, and tunica adventitia. However, in some part of the artery this structure may change. The greatest change occurs at the junctions and bifurcations. In this regard, we decided to study the renal artery bifurcation just where the renal arteries divide into smaller arteries before entering the kidney. Methods: The struc...

Objective- To measure statistically bone cortex to diameter  (C/D) ratio in metocarpo/metatarsal and proximal phalanges in camel. This ratio may be used in diagnosing possible metabolic and nutritional diseases in camel. Design- Experimental study. Animals- Twelve camel limbs (6 fore limbs & 6 hind limbs)      Procedures- This study was conducted on dorsopalmar/dorsoplantar radiographs of t...

in this article, vehicle cornering stability and brake stabilization via bifurcation analysis has been investigated. in order to extract the governing equations of motion, a nonlinear four-wheeled vehicle model with two degrees of freedom has been developed. using the continuation software package matcont a stability analysis based on phase plane analysis and bifurcation of equilibrium is perfo...

In this chapter, we present some emerging directions in bifurcation control in continuous-time dynamical systems. Specifically we discuss two unconventional bifurcation control problems: anti-control of bifurcations and nonsmooth bifurcation control. Anti-control of bifurcation means introducing a new bifurcation at desired location with preferred properties by appropriate control. Nonsmooth bi...

In this paper, vibrations and bifurcation of a damped system consists of a mass grounded by linear and nonlinear springs and a nonlinear damper is studied. Nonlinear equation of motion is derived using Newton’s equations. Approximate analytical solutions are obtained using multiple time scales (MTS) method. For free vibration, the approximate analytical results are compared with the numerical i...

In this paper, the global dynamic behaviors of an SEIQS epidemic system with a nonlinear incidence rate are investigated. At first, the stabilities of equilibria for the system are analyzed. Thus, the codimension-1 bifurcations including transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation are discussed using bifurcation theory. In particular, codimension2 bifurcation (Bogdanov-...

Bifurcation control deals with modification of bifurcation characteristics of a parameterized nonlinear system by a designed control input. Typical bifurcation control objectives include delaying the onset of an inherent bifurcation, stabilizing a bifurcated solution or branch, changing the parameter value of an existing bifurcation point, modifying the shape or type of a bifurcation chain, int...