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

No Thumbnail Available

Date Issued

2019-05-01

Date Online

2019-05-31

Language

en

Review Status

Peer Review

Access Rights

Limited Access Limited Access

Share

Citation

Djouda, 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.

Permanent link to cite or share this item

External link to download this item

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.

Subjects

PESTS OF PLANTS
Investors/sponsors