Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prey cannibalism alters the dynamics of Holling-Tanner type
  predator-prey models   Cannibalism, which is the act of killing and at least partial consumption of
conspecifics, is ubiquitous in nature. Mathematical models have considered
cannibalism in the predator primarily, and show that predator cannibalism in
two species ODE models provides a strong stabilizing effect. There is strong
ecological evidence that cannibalism exists among prey as well, yet this
phenomenon has been much less investigated. In the current manuscript, we
investigate both the ODE and spatially explicit forms of a Holling-Tanner
model, with ratio dependent functional response. We show that cannibalism in
the predator provides a stabilizing influence as expected. However, when
cannibalism in the prey is considered, we show that it cannot stabilise the
unstable interior equilibrium in the ODE case, but can destabilise the stable
interior equilibrium. In the spatially explicit case, we show that in certain
parameter regime, prey cannibalism can lead to pattern forming Turing dynamics,
which is an impossibility without it. Lastly we consider a stochastic prey
cannibalism rate, and find that it can alter both spatial patterns, as well as
limit cycle dynamics.

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The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci