This paper addresses a modified epidemic model with saturated incidence and incomplete treatment. The existence of all equilibrium points is analyzed. A reproduction number R0 determined. Next, it found that the non-endemic point P0 stable in case R0<1, but unstable R0>1. special conditions to analyze local global stability endemic are investigated. Globally, sensitivity analysis system s...

In this paper we study the appearance of bifurcations limit cycles in an epidemic model with two types aware individuals. All transition rates are constant except for alerting decay rate most individuals and creation less individuals, which depend on disease prevalence a non-linear way. For ODE model, numerical computation their stability made by means Poincaré map. Moreover, sufficient conditi...

In the paper, we study a kind of time-delayed novel coronavirus pneumonia dynamical model with vaccination. This considers that people are vaccinated, and human immune system has series processes, which need certain time. We first obtain disease-free equilibrium basic reproduction number R0, unique endemic when R0 > 1. Then discuss stability different delays τ. For τ = 0, using Lyapunov functio...

The possibility of relapse is introduced into a mathematical model for the transmission of Plasmodium vivax malaria. In the model, the human population is divided into four classes: susceptible, infected, dormant and recovered. Loss of immunity by individuals in the recovered class moves these individuals back into the susceptible class. Two equilibrium states are found, a disease-free state an...

Covid-19 is a deadly infectious disease that occurs throughout the world. Therefore, it necessary to prevent transmission of such as vaccination. The purpose this research modify model spread from previous model. equilibrium points and basic reproduction number ( ) modified determined. Then stability analysis was carried out numerical simulation see dynamics population occurred. performed on ob...

Human papilloma Virus (HPV) is the primary infection that causes Cervical cancer. Due to high cost of treatment for cervical cancer, protection against HPV and cancer may be preferable in a scarce resource settings. In this paper, deterministic model incorporates was developed analysed. The endemic state shown exist provided reproduction number greater than unity. Furthermore, by use Routh-Hurw...

A recent paper [Y.-Y. Chen, J.-S. Guo, F. Hamel, Traveling waves for a lattice dynamical system arising in diffusive endemic model, Nonlinearity, 30 (2017), 2334-2359] presented discrete Kermack-McKendrick epidemic and the authors proved existence of traveling wave solutions connecting disease-free equilibrium to equilibrium. However, boundary asymptotic behavior converge at $ +\infty is still ...

In this paper, we consider a deterministic malaria transmission model with standard incidence rate and treatment. Human population is divided into susceptible, infectious and recovered subclasses, and mosquito population is split into susceptible and infectious classes. It is assumed that, among individuals with malaria who are treated or recovered spontaneously, a proportion moves to the recov...