SPREAD OF VIRAL INFECTION OF IMMOBILIZED BACTERIA

被引：6
作者：
Jones, Don A. [1 ]
Smith, Hal L. [1 ]
Thieme, Horst R. [1 ]
机构：
[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85287 USA
来源：
NETWORKS AND HETEROGENEOUS MEDIA | 2013年 / 8卷 / 01期
关键词：
Virus plaque; virus spread; traveling wave solution; speed of spread; linear determinacy; distributed delay; INTEGRAL-EQUATIONS; LINEAR DETERMINACY; ASYMPTOTIC SPEEDS; VIRUSES; GROWTH; PROPAGATION; COMPETITION; DYNAMICS; PLAQUES; MODEL;
D O I：
10.3934/nhm.2013.8.327
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A reaction diffusion system with a distributed time delay is proposed for virus spread on bacteria immobilized on an agar-coated plate. A distributed delay explicitly accounts for a virus latent period of variable duration. The model allows the number of virus progeny released when an infected cell lyses to depend on the duration of the latent period. A unique spreading speed for virus infection is established and traveling wave solutions are shown to exist.
引用
收藏
页码：327 / 342
页数：16
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