{"id":1230,"date":"2025-12-19T11:45:48","date_gmt":"2025-12-19T09:45:48","guid":{"rendered":"https:\/\/www.rjrs.ase.ro\/?page_id=1230"},"modified":"2025-12-19T11:53:06","modified_gmt":"2025-12-19T09:53:06","slug":"vol-19-no-2-article-no-3","status":"publish","type":"page","link":"https:\/\/www.rjrs.ase.ro\/index.php\/vol-19-no-2-article-no-3\/","title":{"rendered":"Vol.19, No. 2, Article no. 3"},"content":{"rendered":"\n<p><strong>Title:\u00a0<\/strong>A mathematical model for population distribution III: An analytical approach to pray-predator systems<\/p>\n\n\n\n<p><strong>Authors &amp; affiliations:\u00a0\u00a0<em>Nicholas Elias, <\/em><\/strong>Democritus University of Thrace, Greece<\/p>\n\n\n\n<p><strong>Abstract:<\/strong><\/p>\n\n\n\n<p>The present paper is a continuation of the work described in Elias (2023) and Elias (2024) which attempt to develop a deterministic simulation for phenomena occurring in Regional Science, incorporating demographic, economic, geographical etc. variables to a mathematically simulated deterministic system. Herein, such systems are approximated by a generalization of the Helmholtz wave equation, providing the possibility to better understand the dynamic influence of the environment and of the interaction between the variables within the system, thus making possible the discrimination between inertial, isolated (closed) and (open-general) dynamic cases. A simulation concerning population systems is presented, applied on prey \u2013 predator systems, without utilizing the Lotka \u2013 Volterra equations. For these systems the analytically derived expressions for the equations of motion (temporal) and distribution (spatiotemporal) are produced.<\/p>\n\n\n\n<p><strong>Keywords:\u00a0<\/strong>Pray \u2013 predator, population distribution, Helmholtz wave equation<\/p>\n\n\n\n<p><strong>JEL Classification:\u00a0<\/strong>Y80<\/p>\n\n\n\n<p><strong>DOI:<\/strong> <a href=\"https:\/\/doi.org\/10.61225\/rjrs.2025.09\"><strong>https:\/\/doi.org\/10.61225\/rjrs.2025.09<\/strong><\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/rjrs.ase.ro\/wp-content\/uploads\/2025\/12\/3-Elias.pdf\">Download full article from here<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title:\u00a0A mathematical model for population distribution III: An analytical approach to pray-predator systems Authors &amp; affiliations:\u00a0\u00a0Nicholas Elias, Democritus University of Thrace, Greece Abstract: The present paper is a continuation of&nbsp;[ &hellip; ]<\/p>\n","protected":false},"author":13,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1230","page","type-page","status-publish","hentry","list-style-post"],"_links":{"self":[{"href":"https:\/\/www.rjrs.ase.ro\/index.php\/wp-json\/wp\/v2\/pages\/1230","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.rjrs.ase.ro\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.rjrs.ase.ro\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.rjrs.ase.ro\/index.php\/wp-json\/wp\/v2\/users\/13"}],"replies":[{"embeddable":true,"href":"https:\/\/www.rjrs.ase.ro\/index.php\/wp-json\/wp\/v2\/comments?post=1230"}],"version-history":[{"count":2,"href":"https:\/\/www.rjrs.ase.ro\/index.php\/wp-json\/wp\/v2\/pages\/1230\/revisions"}],"predecessor-version":[{"id":1240,"href":"https:\/\/www.rjrs.ase.ro\/index.php\/wp-json\/wp\/v2\/pages\/1230\/revisions\/1240"}],"wp:attachment":[{"href":"https:\/\/www.rjrs.ase.ro\/index.php\/wp-json\/wp\/v2\/media?parent=1230"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}