# Dynamics of Intraguild Predation Systems with Intraspecific Competition

## Abstract

This paper considers intraguild predation (IGP) systems where species in the same community kill and eat each other and there is intraspecific competition in each species. The IGP systems are characterized by a lattice gas model, in which reaction between sites on the lattice occurs in a random and independent way. Global dynamics of the model with two species demonstrate mechanisms by which IGP leads to survival/extinction of species. It is shown that an intermediary level of predation promotes survival of species, while over-predation or under-predation could result in species extinction. An interesting result is that increasing intraspecific competition of one species can lead to extinction of one or both species, while increasing intraspecific competitions of both species would result in coexistence of species in facultative predation. Initial population densities of the species are also shown to play a role in persistence of the system. Then the analysis is extended to IGP systems with one species. Numerical simulations confirm and extend our results.

## Keywords

Intraguild predation Lattice gas model Persistence Coexistence Stability## Notes

### Acknowledgements

We would like to thank the anonymous reviewers for their careful reading and helpful comments on the manuscript. This work was supported by NSF of P.R. China (11571382).

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