4 papers
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions
Preet Mishra, Shyam Kumar, Sapna Ratan Shah +1
Cell proliferation and diffusion can be modeled through reaction-diffusion systems describing the space-time evolution of a density variable. In this work, we present non-linear tr…
On Optimal Control of a Genotype-Structured Prey-Predator System for Ecological Rescue and Oscillation Restoration
Preet Mishra, Shyam Kumar, Sorokhaibam Cha Captain Vyom +1
Evolutionary changes impacts interactions among populations and can disrupt ecosystems by driving extinctions or by collapsing population oscillations, posing significant challenge…
Optimal Control of Lantana camara: An Entropy-Based Sustainable Strategy
Shyam Kumar, Preet Mishra, R K Brojen Singh
Framing control policies to mitigate the impact of invasive plants on indigenous biodiversity within the Sustainable Development Goals (SDG) framework is the primary objective of t…
On study of transition fronts of Fisher-KPP type reaction-diffusion PDEs by non-linear transformations into exactly solvable class
Preet Mishra, Sapna Ratan Shah, R. K. Brojen Singh
Spatio-temporal dynamics of the evolution of population involving growth and diffusion processes can be modeled by class of partial diffusion equations (PDEs) known as reaction-dif…