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Spatial invasion of cooperative parasites

Author

Listed:
  • Brouard, Vianney
  • Pokalyuk, Cornelia
  • Seiler, Marco
  • Tran, Hung

Abstract

In this paper we study invasion probabilities and invasion times of cooperative parasites spreading in spatially structured host populations. The spatial structure of the host population is given by a random geometric graph on [0,1]n, n∈N, with a Poisson(N)-distributed number of vertices and in which vertices are connected over an edge when they have a distance of at most rN with rN of order N(β−1)/n for some 0<β<1. At a host infection many parasites are generated and parasites move along edges to neighbouring hosts. We assume that parasites have to cooperate to infect hosts, in the sense that at least two parasites need to attack a host simultaneously. We find lower and upper bounds on the invasion probability of the parasites in terms of survival probabilities of branching processes with cooperation. Furthermore, we characterize the asymptotic invasion time.

Suggested Citation

  • Brouard, Vianney & Pokalyuk, Cornelia & Seiler, Marco & Tran, Hung, 2024. "Spatial invasion of cooperative parasites," Theoretical Population Biology, Elsevier, vol. 159(C), pages 35-58.
    • Handle: RePEc:eee:thpobi:v:159:y:2024:i:c:p:35-58
    DOI: 10.1016/j.tpb.2024.07.001
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