 Dynamical Analysis of the SEIB Model for Brucellosis Transmission to the Dairy Cows with Immunological ThresholdWei Zhang, Juan Zhang, Yong-Ping Wu and Li Li Complexity, 2019, vol. 2019, 1-13 Abstract: As we all know, bacteria is different from virus which with certain types can be killed by the immune cells in the body. The brucellosis, a bacterial disease, can invade the body by indirect transmission from environment, which has not been researched by combining with immune cells. Considering the effects of immune cells, we put a minimum infection dose of brucellosis invading into the dairy cows as an immunological threshold and get a switch model. In this paper, we accomplish a thorough dynamics analysis of a switch model. On the one hand, we can get a disease-free and bacteria-free steady state and up to three endemic steady states which may be thoroughly analyzed in different cases of a minimum infection dose in a switch model. On the other hand, we calculate the basic reproduction number and know that the disease-free and bacteria-free steady state is a global stability when , and the one of the endemic steady state is a conditionally global stability when . We find that different amounts of may lead to different steady states of brucellosis, and considering the effects of immunology is more serious in mathematics and biology. Date: 2019 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6526589 DOI: 10.1155/2019/6526589 Access Statistics for this article More articles in Complexity from Hindawi |
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