Class

Article

College

College of Science

Department

English Department

Faculty Mentor

Luis Gordillo

Presentation Type

Poster Presentation

Abstract

Curly Top disease (CT), caused by a family of curtoviruses, infects a wide variety of agricultural crops. Historically, CT has caused extensive damage in tomato crops resulting in substantial economic loss for the tomato industry. Control methods for CT are scarce, and methods for predicting and assessing the scope of CT outbreaks are limited. In this paper, we formulate two theoretical models, a deterministic model and a stochastic model, for the spread of CT in a heterogeneous environment consisting of beets (preferred host) and tomatoes. The models are composed of two susceptible classes and two infected classes (infectious beets and non-infectious tomatoes). The deterministic model is formulated as a system of coupled ordinary differential equations, and the stochastic model is implemented using a stochastic simulation framework. We parameterize the models using data from a field experiment and assess the variability of CT outbreaks through simulations.

Location

Logan, UT

Start Date

4-8-2022 12:00 AM

Included in

Mathematics Commons

Share

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Apr 8th, 12:00 AM

Modeling the Spread of Curly Top Disease in Tomato Crops

Logan, UT

Curly Top disease (CT), caused by a family of curtoviruses, infects a wide variety of agricultural crops. Historically, CT has caused extensive damage in tomato crops resulting in substantial economic loss for the tomato industry. Control methods for CT are scarce, and methods for predicting and assessing the scope of CT outbreaks are limited. In this paper, we formulate two theoretical models, a deterministic model and a stochastic model, for the spread of CT in a heterogeneous environment consisting of beets (preferred host) and tomatoes. The models are composed of two susceptible classes and two infected classes (infectious beets and non-infectious tomatoes). The deterministic model is formulated as a system of coupled ordinary differential equations, and the stochastic model is implemented using a stochastic simulation framework. We parameterize the models using data from a field experiment and assess the variability of CT outbreaks through simulations.