Essential Site Maintenance: Authorea-powered sites will be updated circa 15:00-17:00 Eastern on Tuesday 5 November.
There should be no interruption to normal services, but please contact us at [email protected] in case you face any issues.

loading page

An environmentally-driven two-strain mutualistic coinfection model with coupling transmission in vivo and vitro and humoral immunity
  • +1
  • Long Zhang,
  • Yuru Zhang,
  • Yuan Sang,
  • Bing Song
Long Zhang
Xinjiang University College of Mathematics and System Sciences

Corresponding Author:[email protected]

Author Profile
Yuru Zhang
Xinjiang University College of Mathematics and System Sciences
Author Profile
Yuan Sang
Xinjiang University College of Mathematics and System Sciences
Author Profile
Bing Song
Xinjiang University College of Mathematics and System Sciences
Author Profile

Abstract

In this paper, a coupling transmission epidemic model with mutualistic two-strain of virus in body and vitro of host is proposed, in which humoral immune response only works for strain 1 due to immunity evasion of mutation. For the within-host subsystem, the global stability of all feasible equilibria with and without environmental influence are discussed. For the between-host subsystem, the basic reproduction number R 0 is obtained. When R 0 < 1 , the disease-free equilibrium is local stable, while the endemic equilibrium is local stable and the disease is uniformly persistent if R 0 > 1 . Meanwhile, backward bifurcation would occur when there exists immune response within host. Finally, numerical examples are provided to illustrate obtained conclusions, by which we find that the mutualism between two strains during co-infection leads to a more persistent disease than single strain, even the basic reproduction number is small than 1 in each single strain.