A Mathematical Model for Prevention the Population Growth of Aphids in Plants

Abstract

The current article presents a mathematical model that illustrates how plant diseases pose a serious threat to biodiversity. Among insects, aphids and mazus are significant contributors to plant disease. Insects have a natural tendency to feed on plants and pose a threat to their growth rate, but plants also respond to these attacks by initiating their defense mechanisms. The population growth of Hemipetra like aphids and mazus discharges a type of lethal material that smeared over that surface of the leaf, preventing the individuals from further sucking and movements and so causing death due to starvation. Aphids are among the most conspicuous and important pests in green houses. Aphids are known to transmit over 100 different kinds of plant viruses, including beet mosaic, cabbage black ringspot, carnation latent, cauliflower mosaic, cherry ringspot, cucumber mosaic, onion yellow dwarf, pea wilt, potato Y, tobacco etch, tobacco mosaic, tomato spotted wilt, and turnip yellow mosaic. Insects are the main problem for our environment because they prevent the growth of plants and destroy crops and vegetables. For agriculture, the high growth rate of the insect population is very fatal. There are different types of insects, like aphids, moths, caterpillars, cutworms, etc., that continuously destroy the growth of crops and damage grains and vegetables in our daily lives. In this paper, an attempt has been made to prevent the population growth of insects (Aphids) that destroy plants through a mathematical model.