Results 51 to 60 of about 1,596 (131)
Positive global solutions for a general model of size‐dependent population dynamics
Abstract 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
An analysis of hybrid impulsive prey-predator-mutualist system on nonuniform time domains
Computational and Mathematical BiophysicsIn this work, we propose a hybrid impulsive prey-predator-mutualist model on nonuniform time domains. We have investigated the permanence/persistence results for the proposed model using the comparison theorems of impulsive differential equations and ...
Kumar Anil, Malik Muslim
doaj +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we develop a continuous periodic switching model depicting Wolbachia infection frequency dynamics in mosquito populations by releasing Wolbachia-infected mosquitoes, which is different from the discrete modeling efforts in the literature.
Shi Yantao, Zheng Bo
doaj +1 more source
International 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
Abstract 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
Coastal fisheries adaptations to increasing climate change exposure in Japan
People and Nature, Volume 6, Issue 6, Page 2339-2356, December 2024.Abstract Climate change‐driven ocean warming is altering the geographic ranges of species, leading to a poleward shift of tropical species into temperate regions (tropicalisation). This threatens the native marine community assemblages by changing the availability of traditional marine resources, thus impacting the livelihood and well‐being of coastal ...
Xochitl Édua Elías Ilosvay +3 more
wiley +1 more source
Dynamics of spatial logistic model: finite systems
, 2014 The spatial logistic model is a system of point entities (particles) in $\mathbb{R}^d$ which reproduce themselves at distant points (dispersal) and die, also due to competition.
Kozitsky, Yuri
core +1 more source
Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution? [PDF]
, 2013 A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain ...
Tchuenche, Jean M.
core
Does a population with the highest turnover coefficient win competition?
, 2017 We consider a discrete time competition model. Populations compete for common limited resources but they have different fertilities and mortalities rates. We compare dynamical properties of this model with its continuous counterpart.
Rudnicki, Ryszard
core +1 more source
Relative frequencies in multitype branching processes
, 2009 This paper considers the relative frequencies of distinct types of individuals in multitype branching processes. We prove that the frequencies are asymptotically multivariate normal when the initial number of ancestors is large and the time of ...
Yakovlev, Andrei Y., Yanev, Nikolay M.
core +2 more sources