In this paper, we consider an autonomous two-dimensional ODE Kolmogorov-type system with three parameters, which is a particular of the general predator–prey systems Holling type II. By reformulating as set two second-order differential equations, investigate nonlinear dynamics from Jacobi stability point view using Kosambi–Cartan–Chern (KCC) geometric theory. We then determine connection, Berw...

We analyze the stability of geodesic curves in geometry Gibbons–Maeda–Garfinkle–Horowitz–Strominger black hole, describing space time a charged hole low energy limit string theory. The analysis is performed by using both linear (Lyapunov) method, as well notion Jacobi stability, based on Kosambi–Cartan–Chern Brief reviews two methods are also presented. After obtaining equations spherical symme...

Gravitational field equations in Randers-Finsler space of approximate Berwald type are investigated. A modified Friedmann model is proposed. It is showed that the accelerated expanding universe is guaranteed by a constrained RandersFinsler structure without invoking dark energy. The geodesic in Randers-Finsler space is studied. The additional term in the geodesic equation acts as repulsive forc...

In the present paper, we find out necessary and sufficient conditions for a Finsler surface $(M,F)$ to be Landsbregian in terms of Berwald curvature $2$-forms. We study surfaces which satisfy some flag $K$ conditions, viz., $V(K)=0,\,\,V(K)= -\mathcal{I}/F^2$ $V(K)=-\mathcal{I}\,K,$ where $\mathcal{I}$ is Cartan scalar. order do so, investigate geometric objects associated with global distribut...

In the present work, two SIR patterns with demography will be considered: classical pattern and a modified linear coefficient of infection transmission. By reformulating each first-order differential systems as system second-order equations, we examine nonlinear dynamics from Jacobi stability perspective through Kosambi–Cartan–Chern (KCC) geometric theory. The intrinsic properties studied by de...