Search
Search Results
-
Piecewise orthogonal collocation for computing periodic solutions of renewal equations
We extend the use of piecewise orthogonal collocation to computing periodic solutions of renewal equations, which are particularly important in...
-
Stability analysis of a logistic growth epidemic model with two explicit time-delays, the nonlinear incidence and treatment rates
In the present study, a time-delayed SIR epidemic model with a logistic growth of susceptibles, Crowley–Martin type incidence, and Holling type III...
-
Bifurcation analysis of a composite cantilever beam via 1:3 internal resonance
In this paper, we study a multiple scales perturbation and numerical solution for vibrations analysis and control of a system which simulates the...
-
Stability, Hopf bifurcation and effects of impulsive antibiotic treatments in a model of drug resistance with conversion delay
Drug resistance has become a problem of grave concern for members of the medical profession for many decades. More and more bacterial infections...
-
Existence, regularity and symmetry of periodic traveling waves for Gardner–Ostrovsky type equations
We study the existence, regularity and symmetry of periodic traveling solutions to a class of Gardner–Ostrovsky type equations, including the...
-
Multiple Bifurcations in a Discrete Bazykin Predator–Prey Model with Predator Intraspecific Interactions and Ratio-Dependent Functional Response
A discrete Bazykin predator–prey model with predator intraspecific interactions and ratio-dependent functional response is proposed and investigated....
-
Global dynamics of a delayed latent virus model with both virus-to-cell and cell-to-cell transmissions and humoral immunity
In this paper, the dynamical behaviors for multiple delayed latent virus model with virus-to-cell infection and cell-to-cell transmissions and...
-
Time-delay effect on a diffusive predator–prey model with habitat complexity
Based on the predator–prey system with a Holling type functional response function, a diffusive predator–prey system with digest delay and habitat...
-
Analysis, circuit realization and controls of an autonomous Morse jerk oscillator
In this paper, an autonomous Morse jerk oscillator which is designed by converting an autonomous two-dimensional Morse oscillator to a jerk...
-
Derivation and Analysis of a Discrete Predator–Prey Model
We derive a discrete predator–prey model from first principles, assuming that the prey population grows to carrying capacity in the absence of...
-
Current Trends in the Bifurcation Methods of Solutions of Real World Dynamical Systems
In this survey paper we discuss a class of dynamical systems giving rise to three types of bifurcations: Hopf bifurcation, Turing bifurcation and Zip...
-
Spectral Theory, Stability and Continuation
We review concepts to describe stability and hyperbolicity of nonautonomous ordinary differential equations based on their linearisation, namely...
-
Global Dynamics of a Piecewise Smooth System with a Fold–Cusp and General Parameters
In this paper, for general parameters we investigate the global dynamics of a piecewise smooth system, which is a two-parametric unfolding of a...
-
Leprosy: Considering the Effects on Density-Dependent Growth of Mycobacterium leprae
Population growth rate plays the synergistic effect in describing the various aspects of the proliferation of Mycobacterium leprae bacteria. It is...
-
Modeling, analysis and numerical solution to malaria fractional model with temporary immunity and relapse
The present paper deals with a fractional-order mathematical epidemic model of malaria transmission accompanied by temporary immunity and relapse....
-
Optimal Drug Therapy in a Multi-Pathways HIV-1 Infection Model with Immune Response Delay
A mathematical model is critical to understanding the host-pathogen interactions. In this paper, we study a multi-pathways in-host HIV-1 infection...
-
Torus and Homoclinic Bifurcations on a Cells Repair Regulations Model of the Metastatic Nasopharyngeal Carcinoma
Nasopharyngeal carcinoma (NPC) is a tumor that grows on nasopharyngeal epithelial cells. There are some proteins that play important roles in the...
-
-
Linking Spontaneous Behavioral Changes to Disease Transmission Dynamics: Behavior Change Includes Periodic Oscillation
Behavior change significantly influences the transmission of diseases during outbreaks. To incorporate spontaneous preventive measures, we propose a...
-
Fractional modeling and control in a delayed predator-prey system: extended feedback scheme
This paper’s goal is to delve into the fractional modeling and bifurcation control for a predator-prey model with prey dispersal and gestation delay....
