Dynamical evolution of discrete epidemic models
نویسندگان
چکیده
منابع مشابه
Discrete epidemic models.
The mathematical theory of single outbreak epidemic models really began with the work of Kermack and Mackendrick about decades ago. This gave a simple answer to the long-standing question of why epidemics woould appear suddenly and then disappear just as suddenly without having infected an entire population. Therefore it seemed natural to expect that theoreticians would immediately proceed to e...
متن کاملEvolution of Discrete Dynamical Systems
Title of dissertation: EVOLUTION OF DISCRETE DYNAMICAL SYSTEMS Jonathan Ozik, Doctor of Philosophy, 2005 Dissertation directed by: Professor Edward Ott Department of Physics We investigate the evolution of three different types of discrete dynamical systems. In each case simple local rules are shown to yield interesting collective global behavior. (a) We introduce a mechanism for the evolution ...
متن کاملModels of Continuous and Discrete Dynamical Systems
The authors have introduced in [KSW97a], KSW97b] two complementary algebras for systems with boundaries. The first is loops in the suspension of a monoidal category ⊗) , (C , denoted ⊗)) , ( Σ ( Ω C , an algebra of deterministic systems in which the natural feedback operation has delay. The second is Span(Graph), an algebra of specifications of systems (nondeterministic transition systems), w...
متن کاملDiscrete Kinetic Models for Dynamical Phase Transitions
In this paper, we shall describe discrete kinetic models, which serve as a novel and systematical way to regularize a mixed-type system describing the dynamical phase transitions. In the limit of zero mean free path, it is expected to provide abundant reasonable kinetic relations and nucleation criteria for constructing Riemann solvers. Some particular models have been investigated theoreticall...
متن کاملDynamical Analysis of SIR Epidemic Models with Distributed Delay
SIR epidemic models with distributed delay are proposed. Firstly, the dynamical behaviors of the model without vaccination are studied. Using the Jacobian matrix, the stability of the equilibrium points of the system without vaccination is analyzed. The basic reproduction number R is got. In order to study the important role of vaccination to prevent diseases, the model with distributed delay u...
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: Physica A: Statistical Mechanics and its Applications
سال: 2000
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(00)00210-7