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

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cg.authorship.typesCGIAR and developing country instituteen
cg.contributor.affiliationUniversité de Yaoundéen
cg.contributor.affiliationUniversity of Buéaen
cg.contributor.affiliationInternational Rice Research Instituteen
cg.contributor.affiliationInternational Institute of Tropical Agricultureen
cg.contributor.donorVolkswagen Foundationen
cg.howPublishedFormally Publisheden
cg.identifier.doihttps://doi.org/10.1063/1.5043612en
cg.isijournalISI Journalen
cg.issn1054-1500en
cg.issue5en
cg.journalChaosen
cg.reviewStatusPeer Reviewen
cg.subject.iitaPESTS OF PLANTSen
cg.volume29en
dc.contributor.authorDjouda, B.S.en
dc.contributor.authorMoukam Kakmeni, F.M.en
dc.contributor.authorGuemkam Ghomsi, P.en
dc.contributor.authorNdjomatchoua, F.T.en
dc.contributor.authorTchawoua, C.en
dc.contributor.authorTonnang, Henri E.Z.en
dc.date.accessioned2019-07-10T10:48:11Zen
dc.date.available2019-07-10T10:48:11Zen
dc.identifier.urihttps://hdl.handle.net/10568/102127
dc.titleTheoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pesten
dcterms.abstractThis 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.en
dcterms.accessRightsLimited Access
dcterms.audienceScientistsen
dcterms.available2019-05-31
dcterms.bibliographicCitationDjouda, B.S., Moukam Kakmeni, F.M., Guemkam Ghomsi, P., Ndjomatchoua, F.T., Tchawoua, C. & Tonnang, H.E.Z. (2019). Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(5): 053134, 1-13.en
dcterms.extent1-13en
dcterms.issued2019-05-01
dcterms.languageen
dcterms.licenseCopyrighted; all rights reserved
dcterms.publisherAIP Publishingen
dcterms.subjectbiological controlen
dcterms.subjectdevelopmental stagesen
dcterms.subjectinsectaen
dcterms.subjectentomopathogenic fungien
dcterms.subjectinsect pesten
dcterms.typeJournal Article

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