Fetching the paper…
Reading the bibliography…
Lotka-Volterra (LV) equations play a key role in the mathematical modeling of various ecological, biological and chemical systems.
Elements of physical biology
A. J. Lotka · 1925
Earlier work this paper cites.
Fluctuations in the abundance of a species considered mathematically
V. Volterra · 1926
Earlier work this paper cites.
Limit distributions for the terms of a variational series
N. V. Smirnov · 1949
Earlier work this paper cites.
Will a large complex system be stable?
R.M. May · 1972
Earlier work this paper cites.
On the number of solutions to the complementarity problem and spanning properties of complementary cones
K. G. Murty · 1972
Earlier work this paper cites.
Limit distributions for order statistics. i
A. Balkema and L. De Haan · 1978
Earlier work this paper cites.
The existence of globally stable equilibria of ecosystems of the generalized volterra type
Y. Takeuchi and N. Adachi · 1980
Earlier work this paper cites.
A chaos hypothesis for some large systems of random equations
S. Geman and C.-R. Hwang · 1982
Earlier work this paper cites.
Linear complementarity, linear and nonlinear programming
K. G. Murty and F-T. Yu · 1988
Earlier work this paper cites.
Phase transition and 1/f noise in a game dynamical model
M. Opper and S. Diederich · 1992
Earlier work this paper cites.
Permanence and the Assembly of Ecological Communities
R. Law and R. D. Morton · 1996
Earlier work this paper cites.
Global dynamical properties of Lotka-Volterra systems
Y. Takeuchi · 1996
Earlier work this paper cites.
Alternatives to resilience for measuring the responses of ecological systems to perturbations
M. G. Neubert and H. Caswell · 1997
Earlier work this paper cites.
Evolutionary games and population dynamics
J. Hofbauer and K. Sigmund · 1998
Earlier work this paper cites.
Transient dynamics and persistence of ecological systems
A. Hastings · 2001
Cited alongside, same era.
Entropy and diversity
L. Jost · 2006
Cited alongside, same era.
Partitioning diversity into independent alpha and beta components
L. Jost · 2007
Cited alongside, same era.
The largest eigenvalues of finite rank deformation of large Wigner matrices: Convergence and nonuniversality of the fluctuations
M. Capitaine, C. Donati-Martin, and D. Féral · 2009
Cited alongside, same era.
The linear complementarity problem
R. W. Cottle, J-S. Pang, and R.E. Stone · 2009
Cited alongside, same era.
Spectral analysis of large dimensional random matrices
Z. D. Bai and J. W. Silverstein · 2010
Cited alongside, same era.
Feasibility and coexistence of large ecological communities
J. Grilli, M. Adorisio, S. Suweis, G. Barabás, J. R. Banavar, S. Allesina, and A. Maritan · 2017
Later among the works it cites.
How ecosystems recover from pulse perturbations: A theory of short- to long-term responses
J.-F. Arnoldi, A. Bideault, M. Loreau, and B. Haegeman · 2018
Later among the works it cites.
The feasibility of equilibria in large ecosystems: A primary but neglected concept in the complexity-stability debate
M. Dougoud, L. Vinckenbosch, R. P Rohr, L-F. Bersier, and C. Mazza · 2018
Later among the works it cites.
Dynamically evolved community size and stability of random Lotka-Volterra ecosystems
T. Galla · 2018
Later among the works it cites.
Effect of population abundances on the stability of large random ecosystems
T. Gibbs, J. Grilli, T. Rogers, and S. Allesina · 2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Spatial guilds in the serengeti food web revealed by a bayesian group model
E. B. Baskerville, A. P. Dobson, T. Bedford, S. Allesina, T. M. Anderson, and M. Pascual · 2011
Cited alongside, same era.
Community assembly: alternative stable states or alternative transient states?
T. Fukami and M. Nakajima · 2011
Cited alongside, same era.
Stability criteria for complex ecosystems
S. Allesina and S. Tang · 2012
Cited alongside, same era.
Around the circular law
C. Bordenave and D. Chafaï · 2012
Cited alongside, same era.
Outliers in the spectrum of iid matrices with bounded rank perturbations
T. Tao · 2013
Cited alongside, same era.
Balls, cups, and quasi-potentials: quantifying stability in stochastic systems
B. C. Nolting and K. C. Abbott · 2016
Cited alongside, same era.
C. A. Serván, J. A. Capitán, J. Grilli, K. E. Morrison, and S. Allesina · 2018
Later among the works it cites.
The feasibility and stability of large complex biological networks: a random matrix approach
L. Stone · 2018
Later among the works it cites.
Predator traits determine food-web architecture across ecosystems
U. Brose, P. Archambault, A. Barnes, L-F. Bersier, T. Boy, J. Canning-Clode, E. Conti, M. Dias, C. Digel, A. Dissanayake, A. Flores, K. Fussmann, B. Gauzens, C. Gray, J. Häussler, M. Hirt, U. Jacob, M. Jochum, S. Kéfi, O. McLaughlin, M. MacPherson, E. Latz, K. Layer-Dobra, P. Legagneux, Y. Li, C. Madeira, N. Martinez, V. Mendonça, C. Mulder, S. Navarrete, E. O’Gorman, D. Ott, J. Paula, D. Perkins, De. Piechnik, I. Pokrovsky, D. Raffaelli, B. Rall, B. Rosenbaum, R. Ryser, A. Silva, Es. Sohlström, N. Sokolova, M. Thompson, R. Thompson, F. Vermandele, C. Vinagre, S. Wang, J. Wefer, R. Williams, E. Wieters, G. Woodward, and A. Iles · 2019
Later among the works it cites.
Lemke’s algorithm for linear complementarity problems
A. Lamperski · 2019
Later among the works it cites.
Predicting collapse of complex ecological systems: quantifying the stability–complexity continuum
S. Pettersson, V. M. Savage, and M. Nilsson Jacobi · 2020
Later among the works it cites.
Feasibility of sparse large lotka-volterra ecosystems
I. Akjouj and J. Najim · 2021
Later among the works it cites.
Positive solutions for large random linear systems
P. Bizeul and J. Najim · 2021
Later among the works it cites.
Equilibrium and surviving species in a large lotka-volterra system of differential equations
M. Clenet · 2022
Closest in time.