In this research article, we derive an optimal control problem for the mosaic disease model
by using the Caputo fractional derivatives. The natural microbial biostimulants (MBs) are …

Key message We summarise modelling studies of the most economically important cassava
diseases and arthropods, highlighting research gaps where modelling can contribute to the …

Several efforts have been made in finding alternate sources of energy. The production of bio-
fuel from the extracts of plants like Jatropha Curcas L. and Pongamia Pinnata L. is most …

We analyze a time-delay Caputo-type fractional mathematical model containing the infection
rate of Beddington–DeAngelis functional response to study the structure of a vector-borne …

In this research collection, we analysed two different fractional non-linear mathematical
models of a well-known mosaic epidemic of plants, which is underlying by begomoviruses …

Presence of optimal levels of dissolved oxygen (above critical level of 4.5 mg L− 1) and
presence of zooplankton community are indicators of good water quality of an aquatic …

In the modern day, fractional operators are being utilized more and more to express
problems and study the spread of epidemics, reflecting the growing interest in mathematical …

In this paper, we formulate and study a new fractional-order SIS epidemic model with fear
effect of an infectious disease and treatment control. The existence and uniqueness …

Vector-transmitted diseases of plants have had devastating effects on agricultural production
worldwide, resulting in drastic reductions in yield for crops such as cotton, soybean, tomato …

Control of pest attack is an important aspect in agriculture to obtain healthy crop as well as
high yield. Farming awareness is also equally important in pest management. Awareness …