Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the …
[ ( hy)] Page 1 SIAM J. APPL. MATH. Vol. 55,No. pp. 763--783, June 1995 1995 Society for Industrial and Applied Mathematics 011 GLOBAL STABILITY FOR A CLASS OF PREDATOR-PREY …
HI Freedman, P Waltman - Mathematical biosciences, 1984 - Elsevier
This paper considers a class of deterministic models of three interacting populations with a view towards determining when all of the populations persist. In analytical terms persistence …
Y Kuang, HI Freedman - Mathematical Biosciences, 1988 - Elsevier
This paper deals with the question of uniqueness of limit cycles in predator-prey systems of Gause type. By utilizing several transformations, these systems are reduced to a generalized …
In this work, we use an analytical approach to study the dynamic consequences of the simplest forms of refuge use by the prey. Although this problem is not new, there are …
HI Freedman, JWH So - Mathematical biosciences, 1985 - Elsevier
The main purpose of this paper is to develop criteria for which a simple food-chain model of intermediate type and of arbitrary length has a globally stable positive equilibrium and to …
A Ducrot, T Giletti, H Matano - Calculus of Variations and Partial …, 2019 - Springer
We investigate spreading properties of solutions of a large class of two-component reaction– diffusion systems, including prey–predator systems as a special case. By spreading …
In this paper, a mathematical model for a predator–prey interaction with self and cross- diffusion is proposed and analysed. Criteria for local stability, instability and global stability …
S Yan, D Jia, T Zhang, S Yuan - Chaos, Solitons & Fractals, 2020 - Elsevier
By considering the hunting cooperations, we propose a diffusive predator-prey model, in which the function response is an increasing function in both predator and prey densities …