A time delay model for bacteria bacteriophage interaction
A time delay model for bacteria bacteriophage interaction
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DOI：
10.1142/s0218339008002617
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发表时间：
2008-09-01
影响因子：
1.6
通讯作者：
Sahani, Saroj Kumar
中科院分区：
文献类型：
--
作者：
Gakkhar, Sunita;Sahani, Saroj Kumar
已经开发了细菌和噬菌体相互作用动力学的连续延迟微分模型。假定时间滞后是由于受感染细菌的潜伏期。该模型结合了噬菌体的溶原生命周期。因此，受感染的细菌可以逻辑地生长。由于受感染细菌细胞内存在裂解性噬菌体，在裂解每种受感染细菌后，恒定数量的噬菌体被释放到系统中。该模型经过解析和数值分析。细菌、噬菌体和感染细菌共存已被证实。得到了易感菌自由平衡存在和稳定的条件。讨论了非零平衡点的简单 Hopf 分岔。感染细菌的溶源生长可以稳定不稳定的正平衡点并增加稳定区域。此外，不稳定的无病平衡状态可以通过包含溶原性生长来稳定。
A continuous delay differential model for dynamics of bacteria and bacteriophage interaction has been developed. The time lag is assumed because of latency period of infected bacteria. The model incorporates the lysogenic life cycle of bacteriophage. Accordingly, the infected bacteria can grow logistically. Due to the presence of lytic phage inside the infected bacterium cell, a constant number of phage is released to the system after lysis of each infected bacteria. The model has been analyzed both analytically and numerically. The coexistence of bacteria, bacteriophage and infected bacteria has been established. The condition for existence and stability of susceptible bacteria free equilibrium has been obtained. A simple Hopf-bifurcation has been discussed for non-zero equilibrium point. The lysogenic growth of infected bacteria can stabilize the unstable positive equilibrium point and increases the region of stability. Further, the unstable disease free equilibrium state can be stabilized with inclusion of lysogenic growth.