Modeling the effects of insecticides and external efforts on crop production

Abstract

In this paper a nonlinear mathematical model is proposed and analyzed to understand the effects of insects, insecticides and external efforts on the agricultural crop productions. In the modeling process, we have assumed that crops grow logistically and decrease due to insects, which are wholly dependent on crops. Insecticides and external efforts are applied to control the insect population and enhance the crop production, respectively. The external efforts affect the intrinsic growth rate and carrying capacity of crop production. The feasibility of equilibria and their stability properties are discussed. We have identified the key parameters for the formulation of effective control strategies necessary to combat the insect population and increase the crop production using the approach of global sensitivity analysis. Numerical simulation is performed, which supports the analytical findings. It is shown that periodic oscillations arise through Hopf bifurcation as spraying rate of insecticides decreases. Our findings suggest that to gain the desired crop production, the rate of spraying and the quality of insecticides with proper use of external efforts are much important.

Mathematical Modelling of Host-Pest Interaction in the Presence of Insecticides and Resistance: A Case of Fall Armyworm

“…From the literature, various deterministic mathematical models describing the dynamics of agricultural pest populations under various pest control measures have been developed [17][18][19][21][22][23][24]. Moreover, mathematical models evaluating the efects of pests and insecticides on crop production have been developed [13,25]. However, despite many pest control models in agricultural production, comprehensive parametric research is limited.…”

Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy

“…These classical criteria have been largely used in literature, including contributions in epidemiology (e.g., macrophages-tuberculosis interaction [33], waterborne diseases [1], etc. ), crop production [20], and economics [5,18,27].…”