منابع مشابه
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...
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We improve previous results for an SEIR-type disease transmission model with fixed latency period, standard incidence and variable population size. Infected individuals are assumed to be unable to give birth, and individuals recover from the disease and acquire permanent immunity with probability f , and dies from the disease with probability 1 − f . In particular, by a novel application of the...
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We study a population model for an infectious disease that spreads in the host population through both horizontal and vertical transmission. The total host population is assumed to have constant density and the incidence term is of the bilinear mass-action form. We prove that the global dynamics are completely determined by the basic reproduction number R0(p, q), where p and q are fractions of ...
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A new SEIR model with distributed infinite delay is derived when the infectivity depends on the age of infection. The basic reproduction number R0, which is a threshold quantity for the stability of equilibria, is calculated. If R0 < 1, then the disease-free equilibrium is globally asymptotically stable and this is the only equilibrium. On the contrary, if R0 > 1, then an endemic equilibrium ap...
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In this paper, based on SIR and SEIR epidemic models with a general nonlinear incidence rate, we incorporate time delays into the ordinary differential equation models. In particular, we consider two delay differential equation models in which delays are caused (i) by the latency of the infection in a vector, and (ii) by the latent period in an infected host. By constructing suitable Lyapunov f...
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ژورنال
عنوان ژورنال: The ANZIAM Journal
سال: 2006
ISSN: 1446-1811,1446-8735
DOI: 10.1017/s144618110000345x