We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Solvability Analysis of the Nonlinear Integral Equations System Arising in the Logistic Dynamics Model in the Case of Piecewise Constant Kernels.
- Authors
Nikolaev, M. V.; Nikitin, A. A.; Dieckmann, U.
- Abstract
A nonlinear integral equation arising from a parametric closure of the third spatial moment in the single-species model of logistic dynamics of U. Dieckmann and R. Law is analyzed. The case of piecewise constant kernels is studied, which is important for further computer modeling. Sufficient conditions are found that guarantee the existence of a nontrivial solution to the equilibrium equation. The use of constant kernels makes it possible to obtain more accurate results compared to earlier works, in particular, more accurate estimates for the L1 norm of the solution and for the closure parameter are obtained.
- Subjects
NONLINEAR integral equations; NONLINEAR equations; MATHEMATICAL logic; NONLINEAR analysis; LOTKA-Volterra equations; COMPUTER simulation; KERNEL (Mathematics)
- Publication
Doklady Mathematics, 2024, Vol 109, Issue 1, p33
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562424701783