In this paper, we establish a correlation between the bihyperbolic numbers set and semi-Euclidean space. There are three different norms on space that allow us to define hypersurfaces Hence, construct some topological structures these called norm e, s, t topologies. On other hand, introduce hyperbolic topologies set. Moreover, by using idempotent spectral representations of numbers, new

A metapopulation structure in landscape ecology comprises a group of interacting spatially separated subpopulations or patches of the same species that may experience several local extinctions. This makes the investigation of survivability (in the form of global oscillation) of a metapopulation on top of diverse dispersal topologies extremely crucial. However, among various dispersal topologies...