Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bifurcations of a Leslie Gower predator prey model with Holling type III
  functional response and Michaelis-Menten prey harvesting   We discuss the stability and bifurcation analysis for a predator-prey system
with non-linear Michaelis-Menten prey harvesting. The existence and stability
of possible equilibria are investigated. We provide rigorous mathematical
proofs for the existence of Hopf and saddle node bifurcations. We prove that
the system exhibits Bogdanov-Takens bifurcation of codimension two, calculating
the normal form. We provide several numerical simulations to illustrate our
theoretical findings.

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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph