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Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 07/2015, Volume 121, pp. 73 - 81
We provide a necessary and sufficient condition for permanence related to a local dynamical system on a suitable topological space. We then present an... 
LotkaVolterra | Uniform persistence | Predatorprey | Permanence
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 03/2012, Volume 25, Issue 3, pp. 614 - 618
A diffusive Holling-Tanner predatorprey model with no-flux boundary condition is considered, and it is proved that the unique constant equilibrium is globally... 
Reactiondiffusion system | Holling-Tanner | Global stability | Predatorprey
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2011, Volume 235, Issue 5, pp. 1326 - 1341
A stochastic ratio-dependent predatorprey model is investigated in this paper. By the comparison theorem of stochastic equations and It's formula, we obtain... 
It's formula | Stable in time average | Extinction | Persistent in mean | Stochastic ratio-dependent predatorprey system
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 02/2011, Volume 12, Issue 1, pp. 403 - 417
The dynamics of a discrete-time predatorprey system is investigated in the closed first quadrant R+2. It is shown that the system undergoes flip bifurcation... 
Chaos | Stability | Flip bifurcation | Predatorprey system | Discrete dynamical system | Feedback control | Period-doubling bifurcation | NeimarkSacker bifurcation
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 08/2011, Volume 12, Issue 4, pp. 2232 - 2244
In this work, we consider a stage-structured predatorprey system with birth pulse and impulsive harvesting at different moments. Firstly, we prove that all... 
Birth pulse | Extinction | Predatorprey system | Impulsive harvesting | Permanence
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2010, Volume 389, Issue 21, pp. 4725 - 4733
Predators and preys often form species networks with asymmetric patterns of interaction. We study the dynamics of a four species network consisting of two... 
Predatorprey models | Networks | Stability | Extinction
Journal Article
Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 04/2011, Volume 74, Issue 7, pp. 2448 - 2461
This paper is concerned with the spreading speeds of a modified LotkaVolterra predatorprey system; the intention is to describe the propagation mode whereby... 
Predatorprey system | Asymptotic spreading | Comparison principle
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2011, Volume 62, Issue 9, pp. 3449 - 3463
The main goal of this work is to show a comparative analysis of simple continuous time predatorprey models considering the Allee effect affecting the prey... 
Predatorprey model | Bifurcation | Limit cycles | Stability | Allee effect | Separatrix curve
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 02/2011, Volume 12, Issue 1, pp. 137 - 145
In this paper, a delayed predatorprey model with HassellVarley type functional responses is studied. Some sufficient conditions are obtained for the existence... 
Predatorprey model | Coincidence degree theorem | Periodic solution | HassellVarley functional response
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 09/2011, Volume 62, Issue 5, pp. 2240 - 2245
The diffusive LotkaVolterra predatorprey system with two delays is reconsidered here. The stability of the coexistence equilibrium and associated Hopf... 
LotkaVolterra | Predatorprey model | Stability | Hopf bifurcation | Reactiondiffusion | Delay
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 04/2011, Volume 12, Issue 2, pp. 1062 - 1071
In this paper, a predator-prey system with mutual interference is studied. Some sufficient conditions are obtained for permanence and global asymptotical... 
Mutual interference | Stability | Predatorprey | Comparison theorem | Permanence | Lyapunov function
Journal Article
Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 01/2011, Volume 74, Issue 2, pp. 652 - 660
In this paper, a two-species predatorprey system with stage structure and harvesting is investigated. The existence of Hopf bifurcations of the system is... 
Predatorprey system | Stage structure | Hopf bifurcation | Delay
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 10/2011, Volume 12, Issue 5, pp. 2871 - 2887
The local dynamics of a two-trophic chain in the presence of both overcrowding and undercrowding effects on prey growth is investigated. The starting point is... 
Bifurcations | Stability | Predatorprey system | Allee effect
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 2011, Volume 12, Issue 4, pp. 2319 - 2338
In this paper, we show that under suitable simple assumptions the classical two populations system may exhibit unexpected behaviors. Considering a more... 
Predator–prey | Bifurcations | Limit cycles | Group defense | Predatorprey | MATHEMATICS, APPLIED | PREY | Predator-prey | STABILITY | RATIO-DEPENDENT PREDATION | Competition | Symbiosis | Nonlinearity | Mathematical models | Thresholds | Hopf bifurcation
Journal Article
Journal of the Franklin Institute, ISSN 0016-0032, 09/2010, Volume 347, Issue 7, pp. 1097 - 1113
In this paper, we consider a predatorprey model with stage-structure and harvesting. This model is the same as the one developed by Kar and Pahari (2007) [9],... 
Stability | Predatorprey system | Harvesting | Time-delay | Hopf bifurcation
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 08/2012, Volume 13, Issue 4, pp. 1837 - 1843
A predator–prey model is considered in which a modified Lotka–Volterra interaction term is used as the functional response of the predator to the prey. The... 
Modified Lotka–Volterra | Predator–prey | Hopf bifurcation | Square root response function | Modified LotkaVolterra | Predatorprey | SYSTEM | MATHEMATICS, APPLIED | Predator-prey | Modified Lotka-Volterra | STABILITY | MODEL | BIFURCATION | Origins | Predators | Roots | Corridors | Nonlinearity | Mathematical models | Lotka-Volterra equations | Standards
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 2009, Volume 19, Issue 8, pp. 2499 - 2514
Journal Article
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