Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model

In this study, an individual-based model is proposed to investigate the effect of demographic stochasticity on biological control using entomopathogenic fungi. The model is formulated as a continuous time Markov process, which is then decomposed into a deterministic dynamics using stochastic correct...

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Main Authors: Djouda, Byliole S., Ndjomatchoua, Frank T., Moukam Kakmeni, F.M., Tchawoua, Clément, Tonnang, Henri E. Z.
Format: Journal Article
Language:Inglés
Published: American Institute of Physics 2021
Subjects:
Online Access:https://hdl.handle.net/10568/164342
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author Djouda, Byliole S.
Ndjomatchoua, Frank T.
Moukam Kakmeni, F.M.
Tchawoua, Clément
Tonnang, Henri E. Z.
author_browse Djouda, Byliole S.
Moukam Kakmeni, F.M.
Ndjomatchoua, Frank T.
Tchawoua, Clément
Tonnang, Henri E. Z.
author_facet Djouda, Byliole S.
Ndjomatchoua, Frank T.
Moukam Kakmeni, F.M.
Tchawoua, Clément
Tonnang, Henri E. Z.
author_sort Djouda, Byliole S.
collection Repository of Agricultural Research Outputs (CGSpace)
description In this study, an individual-based model is proposed to investigate the effect of demographic stochasticity on biological control using entomopathogenic fungi. The model is formulated as a continuous time Markov process, which is then decomposed into a deterministic dynamics using stochastic corrections and system size expansion. The stability and bifurcation analysis shows that the system dynamic is strongly affected by the contagion rate and the basic reproduction number. However, sensitivity analysis of the extinction probability shows that the persistence of a biological control agent depends to the proportion of spores collected from insect cadavers as well as their ability to be reactivated and infect insects. When considering the migration of each species within a set of patches, the dispersion relation shows a Hopf-damped Turing mode for a threshold contagion rate. A large size population led to a spatial and temporal resonant stochasticity and also induces an amplification effect on power spectrum density.
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spelling CGSpace1643422025-05-14T10:39:42Z Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model Djouda, Byliole S. Ndjomatchoua, Frank T. Moukam Kakmeni, F.M. Tchawoua, Clément Tonnang, Henri E. Z. applied mathematics general physics and astronomy mathematical physics statistical and nonlinear physics In this study, an individual-based model is proposed to investigate the effect of demographic stochasticity on biological control using entomopathogenic fungi. The model is formulated as a continuous time Markov process, which is then decomposed into a deterministic dynamics using stochastic corrections and system size expansion. The stability and bifurcation analysis shows that the system dynamic is strongly affected by the contagion rate and the basic reproduction number. However, sensitivity analysis of the extinction probability shows that the persistence of a biological control agent depends to the proportion of spores collected from insect cadavers as well as their ability to be reactivated and infect insects. When considering the migration of each species within a set of patches, the dispersion relation shows a Hopf-damped Turing mode for a threshold contagion rate. A large size population led to a spatial and temporal resonant stochasticity and also induces an amplification effect on power spectrum density. 2021-02-01 2024-12-19T12:53:45Z 2024-12-19T12:53:45Z Journal Article https://hdl.handle.net/10568/164342 en American Institute of Physics Djouda, Byliole S.; Ndjomatchoua, Frank T.; Moukam Kakmeni, F. M.; Tchawoua, Clément and Tonnang, Henri E. Z. 2021. Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model. Chaos, Volume 31, no. 2; p. 023126
spellingShingle applied mathematics
general physics and astronomy
mathematical physics
statistical and nonlinear physics
Djouda, Byliole S.
Ndjomatchoua, Frank T.
Moukam Kakmeni, F.M.
Tchawoua, Clément
Tonnang, Henri E. Z.
Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model
title Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model
title_full Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model
title_fullStr Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model
title_full_unstemmed Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model
title_short Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model
title_sort understanding biological control with entomopathogenic fungi insights from a stochastic pest pathogen model
topic applied mathematics
general physics and astronomy
mathematical physics
statistical and nonlinear physics
url https://hdl.handle.net/10568/164342
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