Biological pest control and crop–tree competition in agroforestry: a dynamical systems analysis

dc.contributor.authorMonteiro L.H.A.
dc.contributor.authorNonis F.C.
dc.contributor.authorConcilio R.
dc.date.accessioned2024-05-01T06:12:14Z
dc.date.available2024-05-01T06:12:14Z
dc.date.issued2024
dc.description.abstract© The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional 2024.Agroforestry is a land-use system based on the simultaneous cultivation of crops and trees. The abundance and diversity of species living in agroforestry is usually higher than in monoculture. Hence, agroforestry may naturally control agricultural pests, by conserving their natural enemies. In monoculture, pest control requires the application of synthetic pesticides, which can cause harmful effects. In agroforestry, however, crops and trees compete for resources, which may reduce the crop production, as compared to monoculture. Here, a mathematical model is proposed to analyze this scenario. The model is written as a set of three nonlinear differential equations, in which the variables are the densities of crops, pests, and trees. It is analytically shown that transcritical and Hopf bifurcations can occur. Thus, by varying the parameter values, the pest can either be eradicated or endemically persist at constant level or endemically persist in oscillatory regime. For the Hopf bifurcation, the first Lyapunov exponent is computed. The analytical results are illustrated by computer simulations and discussed from an agroecological perspective.
dc.description.issuenumber2
dc.description.volume43
dc.identifier.doi10.1007/s40314-024-02613-w
dc.identifier.issnNone
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/38583
dc.relation.ispartofComputational and Applied Mathematics
dc.rightsAcesso Restrito
dc.subject.otherlanguageAgroecosystem
dc.subject.otherlanguageAgroforestry
dc.subject.otherlanguageDynamical system
dc.subject.otherlanguageHopf bifurcation
dc.subject.otherlanguagePest control
dc.subject.otherlanguageTranscritical bifurcation
dc.titleBiological pest control and crop–tree competition in agroforestry: a dynamical systems analysis
dc.typeArtigo
local.scopus.citations0
local.scopus.eid2-s2.0-85186456372
local.scopus.subjectAgricultural pests
local.scopus.subjectAgro-ecosystems
local.scopus.subjectAgroforestry
local.scopus.subjectBiological pest controls
local.scopus.subjectCrop trees
local.scopus.subjectDynamical system analysis
local.scopus.subjectLand-use systems
local.scopus.subjectNatural enemies
local.scopus.subjectTranscritical bifurcation
local.scopus.subjectTree competition
local.scopus.updated2024-06-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85186456372&origin=inward
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