Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bistability in a SIRS model with general nonmonotone and saturated
  incidence rate   In this paper, we consider a SIRS model with general nonmonotone and
saturated incidence rate and perform stability and bifurcation analysis. We
show that the system has saddle-node bifurcation and displays bistable
behavior. We obtain the critical thresholds that characterize the dynamical
behaviors of the model. We find with surprise that the system always admits a
disease free equilibrium E0 which is always asymptotically stable. Numerical
simulations are carried out to verify our results.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math