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Dynamics of host-parasite interactions with horizontal and vertical transmissions in spatially heterogeneous environment

Min Su, Ge Chen and Yuanqi Yang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 517, issue C, 452-458

Abstract: Environmental heterogeneity has been shown to have a profound effect on population dynamics and biological invasions, yet the effect of its spatial structure on the host-parasite system with horizontally and vertically transmitted infection has received little attention. Here we explore a spatially structured host-parasite model with mixture of the horizontal and vertical transmissions under heterogeneous environment induced from fragmented landscape/resource quality. By pair-approximation model, we find that more fragmented landscape (high amount of habitat loss and/or low clustering of lost patches) can enhance the importance of vertical transmission in disease invasion. In contrast to homogeneous landscape, the vertical transmission is even proved to be a determinant role in disease invasion as facing a severe habitat loss. Spatially stochastic simulation predicts that the occupancy of host populations displays different responses to heterogeneous resource quality and habitat loss, which may be because the habitat patch with low resource quality can still hold the reproduction of host individuals. The results can extend our understanding of the effects of transmission modes on spatial host-parasite interactions.

Keywords: Pair approximation; Spatially stochastic simulation; Horizontal transmission; Vertical transmission; Heterogeneous environment (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:517:y:2019:i:c:p:452-458

DOI: 10.1016/j.physa.2018.11.034

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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