Nonautonomous Food-Limited Fishery Model With Adaptive Harvesting [PDF]
arXiv, 2010 We will introduce the biological motivation of the $\gamma$- food-limited model with variable parameters. New criteria are established for the existence and global stability of positive periodic solutions. To prove the existence of steady-state solutions, we used the upper-lower solution method where the existence of at least one positive periodic ...
arxiv
Vector fields whose linearisation is Hurwitz almost everywhere [PDF]
arXiv, 2011 A real matrix is Hurwitz if its eigenvalues have negative real parts. The following generalisation of the Bidimensional Global Asymptotic Stability Problem (BGAS) is provided: Let $X:R^2-->R^2$ be a C^1 vector field whose derivative DX(p) is Hurwitz for almost all p in $R^2$.
arxiv
A survey on Lyapunov functions for epidemic compartmental models. [PDF]
Boll Unione Mat Ital (2008), 2023 Cangiotti N +3 more
europepmc +1 more source
Stability of the global attractor under Markov-Wasserstein noise [PDF]
arXiv, 2011 We develop a "weak Wa\.zewski principle" for discrete and continuous time dynamical systems on metric spaces having a weaker topology to show that attractors can be continued in a weak sense. After showing that the Wasserstein space of a proper metric space is weakly proper we give a sufficient and necessary condition such that a continuous map (or ...
arxiv
Mathematical modeling and analysis for controlling the spread of infectious diseases. [PDF]
Chaos Solitons Fractals, 2021 Tyagi S +3 more
europepmc +1 more source
New exploration on bifurcation for fractional-order quaternion-valued neural networks involving leakage delays. [PDF]
Cogn Neurodyn, 2022 Xu C +5 more
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A solution to the evolution-related Truscott-Brindley model for the generalized phytoplankton-zooplankton populations [PDF]
arXiv, 2012 Phytoplankton are tiny floating plants (algae) living in oceans. In the process of photosynthesis, phytoplankton produces half of the world's oxygen. Moreover, by primary production, death and sinking, they transport carbon from the ocean's surface layer to marine sediments. There are many species of phytoplankton that can be distinguished according to
arxiv
Modeling and optimal control of mutated COVID-19 (Delta strain) with imperfect vaccination. [PDF]
Chaos Solitons Fractals, 2022 Li T, Guo Y.
europepmc +1 more source
Global attractivity of almost periodic solutions for competitive Lotka-Volterra diffusion system [PDF]
arXiv, 2013 In this paper, two competitive Lotka-Volterra populations in the two-patch-system with diffusion are considered. Each of the two spiecies can diffuse indepently and discretely between its in intrapatch and interpatch. By means of constructing Liapunov function, under moderate condition, the system has a unique almost periodic solution and which is ...
arxiv
Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination. [PDF]
Acta Biotheor, 2023 Peter OJ +4 more
europepmc +1 more source