Lassa fever is a deadly viral illness that endemic in some parts of West Africa, including Nigeria. A deterministic model the form non-linear system differential equations developed to analyse dynamics and possible control disease. The tested by fitting it data from Nigeria’s outbreak using least-squares routine shown provide reasonable fit data. Parameters representing various measures are est...

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...

This paper deals with the nonlinear dynamics of a susceptible-infectious-recovered (SIR) epidemic model with nonlinear incidence rate, vertical transmission, vaccination for the newborns of susceptible and recovered individuals, and the capacity of treatment. It is assumed that the treatment rate is proportional to the number of infectives when it is below the capacity and constant when the num...

The global asymptotic stability for the disease free equilibrium of a mathematical model for malaria transmission with two delays is obtained by constructing appropriate Lyapunov functions. Mathematics Subject Classification: 34K20, 92B05

We formulate compartmental differential susceptibility (DS) susceptible-infective-removed (SIR) models by dividing the susceptible population into multiple subgroups according to the susceptibility of individuals in each group. We analyze the impact of disease-induced mortality in the situations where the number of contacts per individual is either constant or proportional to the total populati...

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 ...

The homogeneous and heterogeneous nucleation of a Lennard-Jones liquid is investigated using the umbrella sampling method. The free energy cost of forming a nucleating droplet is determined as a function of the quench depth, and the saddle point nature of the droplets is verified using an intervention technique. The structure and symmetry of the nucleating droplets are found for a range of temp...