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 SEIB 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 R0 and know that the disease-free and bacteria-free steady state is a global stability when R0<1, and the one of the endemic steady state is a conditionally global stability when R0>1. We find that different amounts of R0 may lead to different steady states of brucellosis, and considering the effects of immunology is more serious in mathematics and biology.
Highlights
Brucellosis is the zoonotic sex contagion which is named as Mediterranean relax heat, wave heat, or wave form heat [1– 3]
Brucellosis is listed as one of the communicable diseases that must be notified in the World Organization for Animal Health and is classified as second kind of animal diseases in China
Brucellosis is acute or chronic infectious disease caused by Brucella which is a group of small bulbous gram-negative bacteria [6, 7]
Summary
Brucellosis is the zoonotic sex contagion which is named as Mediterranean relax heat, wave heat, or wave form heat [1– 3]. Brucellosis is listed as one of the communicable diseases that must be notified in the World Organization for Animal Health and is classified as second kind of animal diseases in China. In 1985, the World Health Organization (WHO) divided Brucella into six species and nineteen biological types [7] They are more popular with Br. melitensis, Br. brovis, and Br. suis in China, among which the most popular Brucella is Br. melitensis and the second is Br. brovis. The route of spread is through direct contact with diseased animals and indirect infection with bacteria in the environment [8, 9]. It can be divided into three ways. The last way of transmission is through the respiratory tract
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