Predator-Prey Dynamics: The Role of Structural Complexity, Prey Heterogeneity and Refuges (2008-2011), Funded by DST.

Dynamics of Human Immunodeficiency Virus within an individual host and among the entire host population of a designated area - Modelling, analysis and correlation (2010-2012), Funded by UGC.

Predator-Prey Dynamics: Dynamics of predator-prey-parasite models with different biological aspects (2013-2016), Funded by DST.

Emergent dynamics in ecological networks: Spreading of disease and its controlStudy (2017-2020), Funded by SERB.

Dynamics preserving discretization technique for nonlinear system of differential equations (2018-2021), MATRICS, SERB.

Modelling and analysis of stochastic HIV infection with linear and nonlinear incidence (2018-2021), Funded by CSIR.

Modelling and analysis of stochastic ecological and eco-epidemiological systems with nonlinearity (2018-2021), Indo-French Centre for Applied Mathematics (IFCAM).

Dynamics preserving discretization technique for nonlinear system of differential equations (2018-2021), MATRICS, SERB.

Anatomy of COVID-19 transmission dynamics: A modelling and computational approach from Indian perspective (2020-2021), MATRICS (COVID -19 Project), SERB.