Nonlinear Analysis, Geometry and Applications

This book gathers twenty-two papers presented at the second NLAGA-BIRS Symposium, which was held at Cap Skirring and at the Assane Seck University in Ziguinchor, Senegal, on January 25-30, 2022. The five-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometric analysis, geometric structures, dynamics, optimization, inverse problems, complex analysis, algebra, algebraic geometry, control theory, stochastic approximations, and modelling.

Inhalt

• Stability Analysis and Uniform Persistence of the dynamics of cytotoxic cells with Crowley-Martin functional response.- Null Controllability by birth control for a population dynamics model.- Aedes Vertical Transmission Logistic Growth Mathematical Model for Assessing Arboviruses Maintenance in Environment: A positive semigroup Approach.- Global dynamics of a spore producing pathogens epidemic system with nonlocal diusion process.- Stochastic Reaction Network Modeling and Optimal Control for Covid-19.- Bayesian selection of adaptive bandwidth in nonhomogeneous Poisson Process kernel estimators for the intensity function.- Nonnegative matrix factorization and Log-determinant Divergences.- Study of the shallow water equations with variable bathymetry in a channel with Flather open boundary condition.- Almost periodic solution for non autonomous non densely defined Cauchy problems.- Homogenization of a parabolic equation with random coeffcients : An application to sand transport equations.- Uniqueness and stability in an Inverse problem for electromagnetic forming of a metal jet.- Numerical and theoretical analysis for optimal shape inverse problems.- Algorithms for nonlinear integral equations of Hammerstein type with Phi-monotone mappings in certain Banach spaces.- A Riemannian point of view for a quadrature surface free boundary problem.- A study of sharp coeffcient bounds for a new subfamily of starlike functions.- Resolution of ¯ for differential forms with boundary value in the sense of currents defined on a half space of Cn.- Certain contributions to the ¯ -problem.- Self-intersection on pair of pants.- On the closure of irregular orbits of the horocyclic flow.- Central extensions and Hom-quadratic Hom-Novikov color algebras.- On the Topology of the Intersection Curve of two Real Parameterized Algebraic Surfaces.- Algebraic points of any degree on the affine curve y2 = x(x2 + 1)(x2 + 3).