✦ LIBER ✦

A model for the spatial spread of an epidemic

✍ Scribed by H. R. Thieme

Publisher: Springer
Year: 1977
Tongue: English
Weight: 767 KB
Volume: 4
Category: Article
ISSN: 0303-6812
DOI: 10.1007/bf00275082

No coin nor oath required. For personal study only.

✦ Synopsis

We set up a deterministic model for the spatial spread of an epidemic. Essentially, the model consists of a nonlinear integral equation which has an unique solution. We show that this solution has a temporally asymptotic limit which describes the final state of the epidemic and is the minimal solution of another nonlinear integral equation. We outline the asymptotic behaviour of this minimal solution at a great distance from the epidemic's origin and generalize D. G. Kendall's pandemic threshold theorem (1957).

📜 SIMILAR VOLUMES

A model for the spread of an epidemic

✍ H. Längeb 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 208 KB 👁 2 views

Estimates for the spreading velocity of

Estimates for the spreading velocity of an epidemic model

✍ O. Alves; C.E. Ferreira; F.P. Machado 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 100 KB

Epidemic spreading of an SEIRS model in

Epidemic spreading of an SEIRS model in scale-free networks

✍ Junli Liu; Tailei Zhang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 689 KB

An SEIRS epidemic model on the scale-free networks is presented, where the active contact number of each vertex is assumed to be either constant or proportional to its degree for this model. Using the analytical method, we obtain the two threshold values for above two cases and find that the thresho

Asymptotic behavior for a system describ

Asymptotic behavior for a system describing epidemics with migration and spatial spread of infection

✍ P. De Mottoni; E. Orlandi; A. Tesei 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 838 KB

The spatial spread and final size of the

The spatial spread and final size of the deterministic non-reduciblen-type epidemic

✍ J. Radcliffe; L. Rass 📂 Article 📅 1984 🏛 Springer 🌐 English ⚖ 916 KB

A model has been formulated in [6] to describe the spatial spread of an epidemic involving n types of individual, and the possible wave solutions at different speeds were investigated. The final size and pandemic theorems are now established for such an epidemic. The results are relevant to the meas

Threshold theorem for an epidemic model

✍ A. V. Nagaev; A. V. Startsev 📂 Article 📅 1968 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 230 KB