Results 61 to 70 of about 1,820 (161)

ANALYSIS ON A MODIFIED LESLIE-GOWER AND HOLLING-TYPE II PREDATOR-PREY SYSTEM INCORPORATING A PREY REFUGE AND TIME DELAY

open access: yes, 2018
This paper describes a delayed predator-prey model with modified Leslie-Grower scheme, in which the time delays are regarded as bifurcation parameters.
Shiliang Chen, L. Weide, Zhi-hui Ma
semanticscholar   +1 more source

Positive global solutions for a general model of size‐dependent population dynamics

open access: yesAbstract and Applied Analysis, Volume 5, Issue 3, Page 191-206, 2000., 2000
We study size‐structured population models of general type which have the growth rate depending on the size and time. The local existence and uniqueness of the solution have been shown by Kato and Torikata (1997). Here, we discuss the positivity of the solution and global existence as well as L ∞ solutions.
Nobuyuki Kato
wiley   +1 more source

A stochastic differential game of low carbon technology sharing in collaborative innovation system of superior enterprises and inferior enterprises under uncertain environment

open access: yesOpen Mathematics, 2018
Considering the fact that the development of low carbon economy calls for the low carbon technology sharing between interested enterprises, this paper study a stochastic differential game of low carbon technology sharing in collaborative innovation ...
Yin Shi, Li Baizhou
doaj   +1 more source

Sharp profiles for diffusive logistic equation with spatial heterogeneity

open access: yesAdvanced Nonlinear Studies, 2023
In this article, we study the sharp profiles of positive solutions to the diffusive logistic equation. By employing parameters and analyzing the corresponding perturbation equations, we find the effects of boundary and spatial heterogeneity on the ...
Xing Yan-Hua, Sun Jian-Wen
doaj   +1 more source

Mathematical Analysis of a Resource‐Based Dispersal Model With Gompertz Growth and Optimal Harvesting

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
Gompertz dynamics offer significant applications for the growth of invasive species, cancer modeling, optimal harvesting policies, sustainable yield, and maintaining population levels due to its pattern formation in low‐density cases. This paper examines a widely applicable nonhomogeneous diffusive Gompertz law with zero Neumann boundary conditions ...
Md. Kamrujjaman   +6 more
wiley   +1 more source

Local existence for a general model of size‐dependent population dynamics

open access: yesAbstract and Applied Analysis, Volume 2, Issue 3-4, Page 207-226, 1997., 1997
We shall investigate a size structured population dynamics with aging and birth functions having general forms. The growth rate we deal with depends not only on the size but also on time. We show the existence of a local solution and continuous dependence on the initial data, which shows the uniqueness of the solution as well.
Nobuyuki Kato, Hiroyuki Torikata
wiley   +1 more source

Analyzing a generalized pest-natural enemy model with nonlinear impulsive control

open access: yesOpen Mathematics, 2018
Due to resource limitation, nonlinear impulsive control tactics related to integrated pest management have been proposed in a generalized pest-natural enemy model, which allows us to address the effects of nonlinear pulse control on the dynamics and ...
Li Changtong, Tang Sanyi
doaj   +1 more source

A robust study of the transmission dynamics of zoonotic infection through non-integer derivative

open access: yesDemonstratio Mathematica, 2022
In Sub-Saharan Africa, zoonotic diseases are the leading cause of sickness and mortality, yet preventing their spread has long been difficult. Vaccination initiatives have significantly reduced the frequency of zoonotic diseases mostly in African regions.
Jan Rashid   +4 more
doaj   +1 more source

A Partition Theorem for a Randomly Selected Large Population [PDF]

open access: yes, 2018
We state and prove a proposition on partitioning of a randomly selected large population into stationary and non-stationary populations by using a property of stationary population identity.
Carey, James R.   +1 more
core   +2 more sources

Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects

open access: yes, 2014
By applying the comparison theorem, Lyapunov functional, and almost periodic functional hull theory of the impulsive differential equations, this paper gives some new sufficient conditions for the uniform persistence, global asymptotical stability, and ...
Lijun Xu, Wenquan Wu
semanticscholar   +1 more source

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