diff --git a/mesa/time.py b/mesa/time.py
index ca54bab7a70..4c097ab97ee 100644
--- a/mesa/time.py
+++ b/mesa/time.py
@@ -26,6 +26,7 @@
 from __future__ import annotations
 
 import heapq
+import weakref
 from collections import defaultdict
 
 # mypy
@@ -64,7 +65,7 @@ def __init__(self, model: Model) -> None:
         self.model = model
         self.steps = 0
         self.time: TimeT = 0
-        self._agents: dict[int, Agent] = {}
+        self._agents: dict[int, weakref.ref[Agent]] = {}
 
     def add(self, agent: Agent) -> None:
         """Add an Agent object to the schedule.
@@ -78,15 +79,17 @@ def add(self, agent: Agent) -> None:
                 f"Agent with unique id {agent.unique_id!r} already added to scheduler"
             )
 
-        self._agents[agent.unique_id] = agent
+        self._agents[agent.unique_id] = weakref.ref(agent)
 
-    def remove(self, agent: Agent) -> None:
-        """Remove all instances of a given agent from the schedule.
+    def remove(self, agent: Agent | weakref.ref[Agent]) -> None:
+        """Remove an agent from the schedule.
 
         Args:
-            agent: An agent object.
+            agent: An agent object or a weak reference to an agent.
         """
-        del self._agents[agent.unique_id]
+        agent_id = (agent() if isinstance(agent, weakref.ref) else agent).unique_id
+        if agent_id in self._agents:
+            del self._agents[agent_id]
 
     def step(self) -> None:
         """Execute the step of all the agents, one at a time."""
@@ -102,7 +105,12 @@ def get_agent_count(self) -> int:
 
     @property
     def agents(self) -> list[Agent]:
-        return list(self._agents.values())
+        """Return a list of live agent instances."""
+        return [
+            agent_ref()
+            for agent_ref in self._agents.values()
+            if agent_ref() is not None
+        ]
 
     def get_agent_keys(self, shuffle: bool = False) -> list[int]:
         # To be able to remove and/or add agents during stepping
@@ -113,13 +121,18 @@ def get_agent_keys(self, shuffle: bool = False) -> list[int]:
         return agent_keys
 
     def do_each(self, method, agent_keys=None, shuffle=False):
+        """Performs a method on each agent, managing weak references."""
         if agent_keys is None:
-            agent_keys = self.get_agent_keys()
+            agent_keys = list(self._agents.keys())
         if shuffle:
             self.model.random.shuffle(agent_keys)
-        for agent_key in agent_keys:
-            if agent_key in self._agents:
-                getattr(self._agents[agent_key], method)()
+
+        for agent_key in list(agent_keys):  # Create a copy of the list to iterate over
+            agent_ref = self._agents.get(agent_key)
+            if agent_ref is not None:
+                agent = agent_ref()
+                if agent is not None:
+                    getattr(agent, method)()
 
 
 class RandomActivation(BaseScheduler):