Results 31 to 40 of about 1,820 (161)
Null controllability for a degenerate population model in divergence form via Carleman estimates
Advances in Nonlinear Analysis, 2019 In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
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Sufficient and necessary condition for the permanence of periodic predator‐prey system
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 43, Page 2307-2323, 2004., 2004 We consider the permanence of a periodic predator‐prey system, where the prey disperse in a two‐patch environment. We assume the Volterra within‐patch dynamics and provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent by using the techniques of inequality analysis.
Jingan Cui, Xinyu Song
wiley +1 more source
Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 325-343, 2004., 2004 The existence of positive periodic solutions for a delayed discrete predator‐prey model with Holling‐type‐III functional response N1(k+1)=N1(k)exp{b1(k)-a1(k)N1(k-[τ1])-α1(k)N1(k)N2(k)/(N12(k)+m2N22(k))}, N2(k+1)=N2(k)exp{-b2(k)+α2(k)N12(k-[τ2])/(N12(k-[τ2])+m2N22(k-[τ2]))} is established by using the coincidence degree theory.
Lin-Lin Wang, Wan-Tong Li
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Adaptive dynamics in logistic branching populations [PDF]
, 2007 We consider a trait-structured population subject to mutation, birth and competition of logistic type, where the number of coexisting types may fluctuate.
Champagnat, Nicolas, Lambert, Amaury
core +5 more sources
Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response
, 2014 A predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional response is studied. The local stability of the equilibria and the permanence of the system are investigated. By applying the fluctuation lemma, qualitative analysis and
Shengbin Yu
semanticscholar +1 more source
Mathematical Models for Population Dynamics: Randomness versus Determinism
, 2020 . Mathematical models are used more and more frequently in Life Sciences. These may be deterministic, or stochastic. We present some classical models for population dynamics and discuss in particular the averaging effect in the setting of large ...
J. Bertoin
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Species survival versus eigenvalues
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 115-131, 2004., 2004 Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana +2 more
wiley +1 more source
The threshold of a stochastic SIQS epidemic model
, 2014 In this paper, we discuss the dynamics of a stochastic SIQS epidemic model. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially
Yanni Pang, Yuecai Han, Wenjin Li
semanticscholar +1 more source
Logistic equation with the p‐Laplacian and constant yield harvesting
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 723-727, 2004., 2004 We consider the positive solutions of a quasilinear elliptic equation with p‐Laplacian, logistic‐type growth rate function, and a constant yield harvesting. We use sub‐super‐solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
Shobha Oruganti +2 more
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Open Mathematics, 2019 Overf the last few years, by utilizing Mawhin’s continuation theorem of coincidence degree theory and Lyapunov functional, many scholars have been concerned with the global asymptotical stability of positive periodic solutions for the non-linear ...
Han Sufang +4 more
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