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Author

Rajat Kaushik

3 papers indexed here

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Open access Aug 2026

A Mathematical Model for Teacher–Student Interaction and Student Learning Dynamics

The interaction between teachers and students is an important determinant of learning outcomes and the overall effectiveness of an education system. In this paper, we formulate and analyse a nonlinear ordinary differential equation model to study the dynamics of teacher–student interaction and student learning. The stu...

Rajat Kaushik, Manish Kushwaha, Ram B. Singh · 0 citations
Sep 2026

Refuge, Competition, and Diffusion: Pathways to Spatiotemporal Complexity in a Predator–Prey Model

The interaction between predators and prey is a fundamental aspect of ecology. As a result, studying predator–prey interactions has become more vital to understanding their habitat. Prey populations employ various mechanisms to avoid predation in predator–prey relationships. In this paper, we proposed and analyzed a no...

Shivam, Tikam Singh, K. Singh et al. · 0 citations
Open access Sep 2026

A deterministic framework for epidemic dynamics with abrupt intervention: Indicator-based switching and phase-dependent thresholds

Mathematical models of epidemiology frequently assume time-invariant parameters, failing to capture the abrupt systemic shifts triggered by delayed medical interventions. In this study, we formulate a deterministic Susceptible-Infectious-Recovered (SIR) framework incorporating an abrupt, time-triggered intervention m...

Abhinav Gupta, Rajat Kaushik, Usha Chouhan · 0 citations

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