Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Qualitative analysis of a mathematical model for Xylella fastidiosa
  epidemics   In Southern Italy, since 2013, there has been an ongoing Olive Quick Decline
Syndrome (OQDS) outbreak, due to the bacterium Xylella fastidiosa. In a couple
of previous papers, the authors have proposed a mathematical approach for
identifying possible control strategies for eliminating or at least reduce the
economic impact of such event. The main players involved in OQDS are
represented by the insect vector, Philaenus spumarius, its host plants (olive
trees and weeds) and the bacterium, X. fastidiosa. A basic mathematical model
has been expressed in terms of a system of ordinary differential equations; a
preliminary analysis already provided interesting results about possible
control strategies within an integrated pest management framework, not
requiring the removal of the productive resource represented by the olive
trees. The same conjectures have been later confirmed by analyzing the impact
of possible spatial heterogeneities on controlling a X. fastidiosa epidemic.
These encouraging facts have stimulated a more detailed and rigorous
mathematical analysis of the same system, as presented in this paper. A clear
picture of the possible steady states (equilibria) and their stability
properties has been outlined, within a variety of different parameter
scenarios, for the original spatially homogeneous ecosystem. The results
obtained here confirm, in a mathematically rigorous way, what had been
conjectured in the previous papers, i.e. that the removal of a suitable amount
of weed biomass (reservoir of the juvenile stages of the insect vector of X.
fastidiosa from olive orchards and surrounding areas is the most acceptable
strategy to control the spread of the OQDS. In addition, as expected, the
adoption of more resistant olive tree cultivars has been shown to be a good
strategy, though less cost-effective, in controlling the pathogen.

35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ