Mathematical modelling for sustainable aphid control in agriculture via intercropping

Author:

Allen-Perkins Alfonso12ORCID,Estrada Ernesto345ORCID

Affiliation:

1. Instituto de Física, Universidade Federal da Bahia, 40210-210 Salvador, Brazil

2. Complex System Group, Universidad Politécnica de Madrid, 28040 Madrid, Spain

3. Institute of Applied Mathematics (IUMA), Universidad de Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain

4. ARAID Foundation, Government of Aragón, 50018 Zaragoza, Spain

5. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970 São Carlos, São Paulo, Brazil

Abstract

Agricultural losses to pests represent an important challenge in a global warming scenario. Intercropping is an alternative farming practice that promotes pest control without the use of chemical pesticides. Here, we develop a mathematical model to study epidemic spreading and control in intercropped agricultural fields as a sustainable pest management tool for agriculture. The model combines the movement of aphids transmitting a virus in an agricultural field, the spatial distribution of plants in the intercropped field and the presence of ‘trap crops’ in an epidemiological susceptible–infected–removed model. Using this model, we study several intercropping arrangements without and with trap crops and find a new intercropping arrangement that may improve significantly pest management in agricultural fields with respect to the commonly used intercrop systems.

Funder

Brazilian agency CNPq

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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