Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local and global dynamics of a fractional-order predator-prey system
  with habitat complexity and the corresponding discretized fractional-order
  system   This paper is focused on local and global stability of a fractional-order
predator-prey model with habitat complexity constructed in the Caputo sense and
corresponding discrete fractional-order system. Mathematical results like
positivity and boundedness of the solutions in fractional-order model is
presented. Conditions for local and global stability of different equilibrium
points are proved. It is shown that there may exist fractional-order-dependent
instability through Hopf bifurcation for both fractional-order and
corresponding discrete systems. Dynamics of the discrete fractional-order model
is more complex and depends on both step length and fractional-order. It shows
Hopf bifurcation, flip bifurcation and more complex dynamics with respect to
the step size. Several examples are presented to substantiate the analytical
results.

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin