ON SPREAD OF PHAGE INFECTION OF BACTERIA IN A PETRI DISH

被引：12

作者：

Jones, Don A. ^{[1
]}

Smith, Hal L. ^{[1
]}

Thieme, Horst R. ^{[1
]}

Roest, Gergely ^{[2
]}

机构：

[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85287 USA

[2] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2012年 / 72卷 / 02期

基金：

美国国家科学基金会;

关键词：

virus plaque; virus spread; traveling wave solution; speed of spread; linear determinacy; INTEGRAL-EQUATIONS; LINEAR DETERMINACY; ASYMPTOTIC SPEEDS; TRAVELING-WAVES; GROWING PLAQUE; VIRUSES; GROWTH; MODELS; POPULATIONS; COMPETITION;

D O I：

10.1137/110848360

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A reaction diffusion system with time delay is proposed for virus spread on bacteria immobilized on an agar-coated plate. The delay explicitly accounts for a virus latent period of fixed duration. An interval of possible spreading speeds for virus infection is established, and traveling wave solutions are shown to exist. Linear determinacy of spreading speed breaks down for some parameter values.

引用

页码：670 / 688

页数：19

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