3 papers
math.DS2022
Extinction of multiple populations and a team of Die-out Lyapunov functions
Naghmeh Akhavan, James A. Yorke
The extinction of species is a major problem of concern with a large literature. Our investigation gives insight into when species extinctions must occur, with an emphasis on deter…
math.DS2020
Topological conjugacy and its relations for symbolic matrices
Naghmeh Akhavan, Dawoud Ahmadi Dastjerdi
In 1988 Boyle and Krieger defined sub-matrices for representation matrices of sofic shift. This paper presents some details of relations between integral sub-matrices and represent…
math.DS2019
Population collapse in Elite-dominated societies: A differential equations model without differential equations
Naghmeh Akhavan, James A. Yorke
The HANDY model of Motesharrei, Rivas, and Kalnay examines interactions with the environment by human populations, both between poor and rich people, i.e., "Commoners" and "Elites"…