Two-dimensional individual clustering model
Elissar Nasreddine
TL;DR
This paper extends the analysis of a two-dimensional individual clustering model with two reproduction rates, providing a detailed proof of the global existence of solutions under certain initial conditions.
Contribution
It offers a detailed proof of the global existence of solutions for a two-dimensional individual clustering model with two reproduction rates.
Findings
Global solutions exist for the model under specified initial conditions.
The paper provides a detailed proof of solution existence, complementing previous local results.
Abstract
This paper is devoted to study a model of individual clustering with two specific reproduction rates in two space dimensions. Given q > 2 and an initial condition in W 1,q (\Omega), the local existence and uniqueness of solution have been shown in [6]. In this paper we give a detailed proof of existence of global solution.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Biology Tumor Growth · Mathematical and Theoretical Epidemiology and Ecology Models · Gene Regulatory Network Analysis