On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems
For a $C^1$ map $T$ from $C =[0, +\infty)^N$ to $C$ of the form $T_i(x) = x_if_i(x)$, the dynamical system $x(n) =T^n(x)$ as a population model is competitive if $\frac{\partial f_i}{\partial x_j}\leq 0$ $(i\not= j)$. A well know theorem for competitive systems, presented by Hirsch (J. Bio. Dyn. 2 (...
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| Format: | Article |
| Language: | English |
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Taylor & Francis
2021
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| Online Access: | https://repository.londonmet.ac.uk/6354/1/Carrying_simplex_discrete.pdf |