SVIR Epidemic Model with Non Constant Population
نویسندگان
چکیده
منابع مشابه
Vaccination Control in a Stochastic SVIR Epidemic Model
For a stochastic differential equation SVIR epidemic model with vaccination, we prove almost sure exponential stability of the disease-free equilibrium for ℛ(0) < 1, where ℛ(0) denotes the basic reproduction number of the underlying deterministic model. We study an optimal control problem for the stochastic model as well as for the underlying deterministic model. In order to solve the stochasti...
متن کاملPermanence and extinction for a nonautonomous SVIR epidemic model with distributed time delay∗
In this paper we have considered a nonautonomous SV IR epidemic model with varying total population size and distributed time delay to become infectious. Instead of assuming that vaccinees gain immunity immediately, we have assumed that they are different from susceptible and recovered persons and it takes some time for them to gain immunity and then enter into the recovered class. Here, we hav...
متن کاملDynamics 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...
متن کاملRandom periodic solution for a stochastic SIS epidemic model with constant population size
In this paper, a stochastic susceptible-infected-susceptible (SIS) epidemic model with periodic coefficients is formulated. Under the assumption that the total population is fixed by N, an analogue of the threshold R0 is identified. If R T 0 > 1, the model is proved to admit at least one random periodic solution which is nontrivial and located in (0,N)× (0,N). Further, the conditions for persis...
متن کاملPenna bit-string model with constant population
We removed from the Penna model for biological ageing any random killing Verhulst factor. Deaths are due only to genetic diseases and the population size is fixed, instead of fluctuating around some constant value. We show that these modifications give qualitatively the same results obtained in an earlier paper, where the random killings (used to avoid an exponential increase of the population)...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: CAUCHY
سال: 2018
ISSN: 2477-3344,2086-0382
DOI: 10.18860/ca.v5i3.5511