Modelling contact spread of infection in host-parasitoid systems: Vertical transmission of pathogens can cause chaos

Katharine F. Preedy; Pieta G. Schofield; Sijia Liu; Anastasios Matzavinos; Mark A. J. Chaplain; Stephen F. Hubbard

doi:10.1016/j.jtbi.2009.10.003

Modelling contact spread of infection in host-parasitoid systems: Vertical transmission of pathogens can cause chaos

Katharine F. Preedy, Pieta G. Schofield, Sijia Liu, Anastasios Matzavinos, Mark A. J. Chaplain, Stephen F. Hubbard

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

All animals and plants are, to some extent, susceptible to disease caused by varying combinations of parasites, viruses and bacteria. In this paper, we develop a mathematical model of contact spread infection to investigate the effect of introducing a parasitoid-vectored infection into a one-host-two-parasitoid competition model. We use a system of ordinary differential equations to investigate the separate influences of horizontal and vertical pathogen transmission on a model system appropriate for a variety of competitive situations. Computational simulations and steady-state analysis show that the transient and long-term dynamics exhibited under contact spread infection are highly complex. Horizontal pathogen transmission has a stabilising effect on the system whilst vertical transmission can destabilise it to the point of chaotic fluctuations in population levels. This has implications when considering the introduction of host pathogens for the control of insect vectored diseases such as bovine tuberculosis or yellow fever. (C) 2009 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	441-451
Number of pages	11
Journal	Journal of Theoretical Biology
Volume	262
Issue number	3
DOIs	https://doi.org/10.1016/j.jtbi.2009.10.003
Publication status	Published - 7 Feb 2010

Keywords

Insect-pathogen interactions
Population dynamics
Infection
Horizontal transmission
Vertical transmission
Vectored diseases
Competition
Chaotic dynamics
POPULATION-DYNAMICS
PATTERN-FORMATION
PERSISTENCE
HYMENOPTERA
BRACONIDAE
COMMUNITY
INVASION
DISEASE
MATLAB

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.jtbi.2009.10.003

Cite this

@article{3413fd565cff4c91b964536250d7ccc2,

title = "Modelling contact spread of infection in host-parasitoid systems: Vertical transmission of pathogens can cause chaos",

abstract = "All animals and plants are, to some extent, susceptible to disease caused by varying combinations of parasites, viruses and bacteria. In this paper, we develop a mathematical model of contact spread infection to investigate the effect of introducing a parasitoid-vectored infection into a one-host-two-parasitoid competition model. We use a system of ordinary differential equations to investigate the separate influences of horizontal and vertical pathogen transmission on a model system appropriate for a variety of competitive situations. Computational simulations and steady-state analysis show that the transient and long-term dynamics exhibited under contact spread infection are highly complex. Horizontal pathogen transmission has a stabilising effect on the system whilst vertical transmission can destabilise it to the point of chaotic fluctuations in population levels. This has implications when considering the introduction of host pathogens for the control of insect vectored diseases such as bovine tuberculosis or yellow fever. (C) 2009 Elsevier Ltd. All rights reserved.",

keywords = "Insect-pathogen interactions, Population dynamics, Infection, Horizontal transmission, Vertical transmission, Vectored diseases, Competition, Chaotic dynamics, POPULATION-DYNAMICS, PATTERN-FORMATION, PERSISTENCE, HYMENOPTERA, BRACONIDAE, COMMUNITY, INVASION, DISEASE, MATLAB",

author = "Preedy, {Katharine F.} and Schofield, {Pieta G.} and Sijia Liu and Anastasios Matzavinos and Chaplain, {Mark A. J.} and Hubbard, {Stephen F.}",

year = "2010",

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doi = "10.1016/j.jtbi.2009.10.003",

language = "English",

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TY - JOUR

T1 - Modelling contact spread of infection in host-parasitoid systems

T2 - Vertical transmission of pathogens can cause chaos

AU - Preedy, Katharine F.

AU - Schofield, Pieta G.

AU - Liu, Sijia

AU - Matzavinos, Anastasios

AU - Chaplain, Mark A. J.

AU - Hubbard, Stephen F.

PY - 2010/2/7

Y1 - 2010/2/7

N2 - All animals and plants are, to some extent, susceptible to disease caused by varying combinations of parasites, viruses and bacteria. In this paper, we develop a mathematical model of contact spread infection to investigate the effect of introducing a parasitoid-vectored infection into a one-host-two-parasitoid competition model. We use a system of ordinary differential equations to investigate the separate influences of horizontal and vertical pathogen transmission on a model system appropriate for a variety of competitive situations. Computational simulations and steady-state analysis show that the transient and long-term dynamics exhibited under contact spread infection are highly complex. Horizontal pathogen transmission has a stabilising effect on the system whilst vertical transmission can destabilise it to the point of chaotic fluctuations in population levels. This has implications when considering the introduction of host pathogens for the control of insect vectored diseases such as bovine tuberculosis or yellow fever. (C) 2009 Elsevier Ltd. All rights reserved.

AB - All animals and plants are, to some extent, susceptible to disease caused by varying combinations of parasites, viruses and bacteria. In this paper, we develop a mathematical model of contact spread infection to investigate the effect of introducing a parasitoid-vectored infection into a one-host-two-parasitoid competition model. We use a system of ordinary differential equations to investigate the separate influences of horizontal and vertical pathogen transmission on a model system appropriate for a variety of competitive situations. Computational simulations and steady-state analysis show that the transient and long-term dynamics exhibited under contact spread infection are highly complex. Horizontal pathogen transmission has a stabilising effect on the system whilst vertical transmission can destabilise it to the point of chaotic fluctuations in population levels. This has implications when considering the introduction of host pathogens for the control of insect vectored diseases such as bovine tuberculosis or yellow fever. (C) 2009 Elsevier Ltd. All rights reserved.

KW - Insect-pathogen interactions

KW - Population dynamics

KW - Infection

KW - Horizontal transmission

KW - Vertical transmission

KW - Vectored diseases

KW - Competition

KW - Chaotic dynamics

KW - POPULATION-DYNAMICS

KW - PATTERN-FORMATION

KW - PERSISTENCE

KW - HYMENOPTERA

KW - BRACONIDAE

KW - COMMUNITY

KW - INVASION

KW - DISEASE

KW - MATLAB

U2 - 10.1016/j.jtbi.2009.10.003

DO - 10.1016/j.jtbi.2009.10.003

M3 - Article

SN - 0022-5193

VL - 262

SP - 441

EP - 451

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

IS - 3

ER -

Modelling contact spread of infection in host-parasitoid systems: Vertical transmission of pathogens can cause chaos

Abstract

Keywords

UN SDGs

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