3 papers
math.AP2026
The Kolmogorov forward equation for a distributed model of regime-switching diffusions
Alexander S. Bratus, Olga S. Rozanova
For the regime-switching diffusion process with and without advection term we propose an integro-differential equation describing the densities of states continuously distributed o…
q-bio.PE2025
Flow-Based Modelling of Population Dynamics with Consecutive Continuous Mutations
Alexander Bratus, Tatiana Yakushkina, Vladimir Posvyanski
We develop a continuous mathematical model of population dynamics that describes the sequential emergence of new genotypes under limited resources. The framework models genotype de…
q-bio.PE2025
A mathematical framework of consumer-resource dynamics: How to incorporate interactions between interactions in evolutionary process
Alexander S. Bratus, Sergei V. Drozhzhin, Artem S. Novozhilov
A novel mathematical framework is proposed to describe the ecological and evolutionary consequences of consumer--resource interactions. Both the consumer and resource are assumed t…