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Regular version of the site

Article

Examining the biological species steady-state density equation in spaces with different dimensions

Bodrov A.G., Nikitin A. A.

A computational solution to the integral equation in the biological spatial model is found. The numerical techniques that are used (the Nystr{\"o}m and Neumann series methods, the latter being one of successive approximations) yield a reasonably accurate solution. An approach of moving from multidimensional equations to a one-dimensional equation for high-dimensional spaces is proposed. Explicit formulas for kernels when there are normal initial kernels are also proposed.