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    Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest

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    S19ArtDjoudaTheoreticalInthomDev.pdf (1.495Mb)
    Date
    2019-05-31
    Author
    Djouda, B.S.
    Moukam Kakmeni, F.M.
    Guemkam Ghomsi, P.
    Ndjomatchoua, F.T.
    Tchawoua, C.
    Tonnang, Z.E.H.
    Type
    Journal Article
    Target Audience
    Scientists
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    Abstract/Description
    This paper presents the study of the dynamics of intrahost (insect pests)-pathogen [entomopathogenic fungi (EPF)] interactions. The interaction between the resources from the insect pest and the mycelia of EPF is represented by the Holling and Powell type II functional responses. Because the EPF’s growth is related to the instability of the steady state solution of our system, particular attention is given to the stability analysis of this steady state. Initially, the stability of the steady state is investigated without taking into account diffusion and by considering the behavior of the system around its equilibrium states. In addition, considering small perturbation of the stable singular point due to nonlinear diffusion, the conditions for Turing instability occurrence are deduced. It is observed that the absence of the regeneration feature of insect resources prevents the occurrence of such phenomena. The long time evolution of our system enables us to observe both spot and stripe patterns. Moreover, when the diffusion of mycelia is slightly modulated by a weak periodic perturbation, the Floquet theory and numerical simulations allow us to derive the conditions in which diffusion driven instabilities can occur. The relevance of the obtained results is further discussed in the perspective of biological insect pest control.
    https://dx.doi.org/10.1063/1.5043612
    Multi standard citation
    Permanent link to this item
    https://hdl.handle.net/20.500.12478/5854
    Digital Object Identifier (DOI)
    https://dx.doi.org/10.1063/1.5043612
    IITA Subjects
    Pests Of Plants
    Agrovoc Terms
    Biological Control; Developmental Stages; Insecta; Entomopathogenic Fungi; Insect Pest
    Journals
    Chaos
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    • Journal and Journal Articles4835
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