Dynamics of SEIR model with delay effects - latent period and recovery period

An SEIR Epidemic Model with Profitless Latent Period Time Delay and Pulse Vaccination

In this paper, we formulate a robust SEIR epidemic disease model with a profitless delay and nonlinear incidence, and analyze the dynamics behaviors of the model under pulse vaccination. By use of the discrete dynamical system determined by the stroboscopic map, we obtain an ’infection-free’ periodic solution, further, show that the ’infection-free’ periodic solution is globally attractive when...

prediction of ignition delay period in d.i diesel engines

a semi-empirical mathematical model for predicting physical part of ignition delay period in the combustion of direct - injection diesel engines with swirl is developed . this model based on a single droplet evaporation model . the governing equations , namely , equations of droplet motion , heat and mass transfer were solved simultaneously using a rung-kutta step by step unmerical method . the...

Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period

In this paper, we studied the global dynamics of a SEIR epidemic model in which the latent and immune state were infective. The basic reproductive rate, R0, is derived. If R0 6 1, the disease-free equilibrium is globally stable and the disease always dies out. If R0 > 1, there exists a unique endemic equilibrium which is locally stable. Furthermore, we proved the global stability of the unique ...

Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis ‎Incidence Rate and a Constant Infectious Period

In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...

Malaria dynamics with long latent period in hosts